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Gogatishvili, Amiran

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Author ID: gogatishvili.amiran Recent zbMATH articles by "Gogatishvili, Amiran"
Published as: Gogatishvili, A.; Gogatishvili, A. S.; Gogatishvili, Amiram; Gogatishvili, Amiran
Homepage: http://users.math.cas.cz/~gogatish/
External Links: Math-Net.Ru
Documents Indexed: 117 Publications since 1988, including 2 Books
Reviewing Activity: 31 Reviews
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Serials

6 Mathematische Nachrichten
6 Georgian Mathematical Journal
6 Mathematical Inequalities & Applications
5 Czechoslovak Mathematical Journal
4 Journal of Mathematical Analysis and Applications
4 Journal of Functional Analysis
4 Doklady Mathematics
3 Studia Mathematica
3 Journal of Approximation Theory
3 Real Analysis Exchange
3 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Eurasian Mathematical Journal
2 Collectanea Mathematica
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Publicacions Matemàtiques
2 Soobshcheniya Akademii Nauk Gruzii
2 Potential Analysis
2 The Journal of Fourier Analysis and Applications
2 Journal of Inequalities and Applications
2 Proceedings of A. Razmadze Mathematical Institute
2 Mediterranean Journal of Mathematics
1 Bulletin of the Australian Mathematical Society
1 Russian Mathematical Surveys
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Mathematica Slovaca
1 Mathematische Zeitschrift
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Soviet Mathematics. Doklady
1 Tokyo Journal of Mathematics
1 Soochow Journal of Mathematics
1 Journal of Operator Theory
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Mathematica Hungarica
1 Forum Mathematicum
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Proceedings of the Georgian Academy of Sciences. Mathematics
1 Bulletin des Sciences Mathématiques
1 Nonlinear Studies
1 Positivity
1 Revista Matemática Complutense
1 Bulletin of TICMI
1 Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya Fizika, Matematika
1 Journal of Function Spaces and Applications
1 Complex Variables and Elliptic Equations
1 Banach Journal of Mathematical Analysis
1 Proceedings of the Estonian Academy of Sciences
1 Differential Equations and Applications

Publications by Year

Citations contained in zbMATH

92 Publications have been cited 850 times in 468 Documents Cited by Year
Boundedness of the fractional maximal operator in local Morrey-type spaces. Zbl 1207.42015
Burenkov, V. I.; Gogatishvili, A.; Guliyev, V. S.; Mustafayev, R. Ch.
56
2010
Weight theory for integral transforms on spaces of homogeneous type. Zbl 0955.42001
Genebashvili, I.; Gogatishvili, A.; Kokilashvili, V.; Krbec, M.
56
1998
Limiting reiteration for real interpolation with slowly varying functions. Zbl 1080.46012
Gogatishvili, Amiran; Opic, Bohumír; Trebels, Walter
40
2005
Discretization and anti-discretization of rearrangement-invariant norms. Zbl 1066.46023
Gogatishvili, Amiran; Pick, Luboš
37
2003
Reduction theorems for weighted integral inequalities on the cone of monotone functions. Zbl 1288.26018
Gogatishvili, A.; Stepanov, V. D.
34
2013
Characterizations of Besov and Triebel-Lizorkin spaces on metric measure spaces. Zbl 1278.42029
Gogatishvili, Amiran; Koskela, Pekka; Zhou, Yuan
32
2013
Boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1223.42008
Burenkov, Victor I.; Gogatishvili, Amiran; Guliyev, Vagif S.; Mustafayev, Rza Ch.
32
2011
Weighted inequalities for Hardy-type operators involving suprema. Zbl 1116.47041
Gogatishvili, Amiran; Opic, Bohumír; Pick, Luboš
31
2006
Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033
Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari
25
2010
The generalized Hardy operator with kernel and variable integral limits in Banach function spaces. Zbl 0947.47020
Gogatishvili, A.; Lang, J.
24
1999
Weighted inequalities involving two Hardy operators with applications to embeddings of function spaces. Zbl 1150.26001
Carro, María; Gogatishvili, Amiran; Martín, Joaquim; Pick, Luboš
19
2008
A reduction theorem for supremum operators. Zbl 1127.26012
Gogatishvili, Amiran; Pick, Luboš
18
2007
An equivalence theorem for integral conditions related to Hardy’s inequality. Zbl 1070.26015
Gogatishvili, Amiram; Kufner, Alois; Persson, Lars-Erik; Wedestig, Anna
18
2004
New pre-dual space of Morrey space. Zbl 1263.46031
Gogatishvili, A.; Mustafayev, R. Ch.
17
2013
Sharp embeddings of Besov spaces involving only logarithmic smoothness. Zbl 1161.46017
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumir
17
2008
Functional properties of rearrangement invariant spaces defined in terms of oscillations. Zbl 1110.46012
Carro, María J.; Gogatishvili, Amiran; Martín, Joaquim; Pick, Luboš
17
2005
A note on maximal commutators and commutators of maximal functions. Zbl 1330.42012
Agcayazi, Mujdat; Gogatishvili, Amiran; Koca, Kerim; Mustafayev, Rza
16
2015
Reduction theorems for operators on the cones of monotone functions. Zbl 1326.47063
Gogatishvili, Amiran; Stepanov, Vladimir D.
16
2013
Embeddings and duality theorem for weak classical Lorentz spaces. Zbl 1106.26018
Gogatishvili, Amiran; Pick, Luboš
16
2006
Weighted iterated Hardy-type inequalities. Zbl 1375.26032
Gogatishvili, Amiran; Mustafayev, Rza Ch.
13
2017
Some new iterated Hardy-type inequalities. Zbl 1260.26023
Gogatishvili, A.; Mustafayev, R. Ch.; Persson, L.-E.
13
2012
On grand and small Lebesgue and Sobolev spaces and some applications to PDE’s. Zbl 1398.46025
Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran
10
2018
Characterizations of Besov and Triebel-Lizorkin spaces via averages on balls. Zbl 1331.46023
Dai, Feng; Gogatishvili, Amiran; Yang, Dachun; Yuan, Wen
10
2016
Characterizations of Sobolev spaces via averages on balls. Zbl 1346.46023
Dai, Feng; Gogatishvili, Amiran; Yang, Dachun; Yuan, Wen
10
2015
Ulyanov-type inequalities between Lorentz-Zygmund spaces. Zbl 1316.41010
Gogatishvili, Amiran; Opic, Bohumír; Tikhonov, Sergey; Trebels, Walter
10
2014
Characterisation of embeddings in Lorentz spaces. Zbl 1128.26012
Gogatishvili, A.; Johansson, M.; Okpoti, C. A.; Persson, L.-E.
10
2007
Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness. Zbl 1238.46024
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumír
9
2011
Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness. Zbl 1197.46017
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
9
2010
Some new scales of weight characterizations of the class \(B_p\). Zbl 1199.26057
Gogatishvili, A.; Kufner, A.; Persson, L.-E.
9
2009
Characterization of associate spaces of weighted Lorentz spaces with applications. Zbl 1325.46032
Gogatishvili, Amiran; Pick, Luboš; Soudský, Filip
8
2014
Some new iterated Hardy-type inequalities: the case \({\theta=1}\). Zbl 1297.26035
Gogatishvili, Amiran; Mustafayev, Rza; Persson, Lars-Erik
8
2013
Dual spaces of local Morrey-type spaces. Zbl 1249.46020
Gogatishvili, Amiran; Mustafayev, Rza
8
2011
Optimality of embeddings of Bessel-potential-type spaces into Lorentz-Karamata spaces. Zbl 1076.46021
Gogatishvili, Amiran; Opic, Bohumír; Neves, Júlio S.
8
2004
Duality principles and reduction theorems. Zbl 0985.46013
Gogatishvili, Amiran; Pick, Luboš
8
2000
Characterization of interpolation between grand, small or classical Lebesgue spaces. Zbl 1409.46025
Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran; Kopaliani, Tengiz; Rakotoson, Jean Michel
7
2018
Compact embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness. Zbl 1213.46029
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
7
2011
Sharp estimates of the \(k\)-modulus of smoothness of Bessel potentials. Zbl 1194.26026
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
7
2010
Optimal embeddings and compact embeddings of Bessel-potential-type spaces. Zbl 1179.46029
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
7
2009
Embeddings of Lorentz-type spaces involving weighted integral means. Zbl 1383.46023
Gogatishvili, Amiran; Křepela, Martin; Pick, Luboš; Soudský, Filip
6
2017
Sharpness and non-compactness of embeddings of Bessel-potential-type spaces. Zbl 1137.46020
Gogatishvili, Amiran; Neves, Júlio Severino; Opic, Bohumír
6
2007
Solution of two-weight problems for integral transforms with positive kernels. Zbl 1056.42507
Genebashvili, I.; Gogatishvili, A.; Kokilashvili, V.
6
1996
Criteria of weighted inequalities in Orlicz classes for maximal functions defined on homogeneous type spaces. Zbl 0819.42007
Gogatishvili, A.; Kokilashvili, V.
6
1994
Criteria of general weak type inequalities for integral transforms with positive kernels. Zbl 0803.42011
Genebashvili, I.; Gogatishvili, A.; Kokilashvili, V.
6
1993
Iterated Hardy-type inequalities involving suprema. Zbl 1379.26018
Gogatishvili, Amiran; Mustafayev, Rza Ch.
5
2017
The rearrangement-invariant space \(\Gamma _{p,\phi}\). Zbl 1311.46025
Gogatishvili, Amiran; Kerman, Ron
5
2014
The reverse Hardy inequality with measures. Zbl 1136.26004
Evans, W. Desmond; Gogatishvili, Amiran; Opic, Bohumír
5
2008
Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces. Zbl 1096.46016
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
5
2005
Weak and extra-weak type inequalities for the maximal operator and the Hilbert transform. Zbl 0798.42009
Gogatishvili, Amiran; Pick, Luboš
5
1993
Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function. Zbl 1401.42018
Gogatishvili, Amiran; Mustafayev, Rza; Aǧcayazi, Müjdat
4
2018
Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces. Zbl 1432.46013
Caetano, António; Gogatishvili, Amiran; Opic, Bohumír
4
2016
Local Hardy-Littlewood maximal operator in variable Lebesgue spaces. Zbl 1285.42018
Gogatishvili, A.; Danelia, A.; Kopaliani, T.
4
2014
Equivalence of norms of Riesz potential and fractional maximal function in generalized Morrey spaces. Zbl 1258.42017
Gogatishvili, Amiran; Mustafayev, Rza
4
2012
Integral operators on cones of monotone functions. Zbl 1281.26014
Gogatishvili, A.; Stepanov, V. D.
4
2012
Interpolation orbits and optimal Sobolev’s embeddings. Zbl 1137.46021
Gogatishvili, Amiran; Ovchinnikov, Vladimir I.
4
2007
Criteria of strong type two-weighted inequalities for fractional maximal functions. Zbl 0884.42015
Gogatishvili, A.; Kokilashvili, V.
4
1996
Maximal functions, \(\varphi(L)\) classes and Carleson measures. Zbl 0815.42010
Gogatishvili, A.; Kokilashvili, V.; Krbec, M.
4
1993
A note on boundedness of the Hardy-Littlewood maximal operator on Morrey spaces. Zbl 1346.42017
Gogatishvili, A.; Mustafayev, R. Ch.
3
2016
Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings. Zbl 1361.46022
Gogatishvili, Amiran; Aykol, Canay; Guliyev, Vagif S.
3
2015
Embeddings of Sobolev-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness. Zbl 1318.26045
Gogatishvili, Amiran; Moura, Susana D.; Neves, Júlio S.; Opic, Bohumír
3
2015
Some scales of equivalent conditions to characterize the Stieltjes inequality: the case \(q<p\). Zbl 1298.26052
Gogatishvili, Amiran; Persson, Lars-Erik; Stepanov, Vladimir D.; Wall, Peter
3
2014
Boundedness of Stein’s spherical maximal function in variable Lebesgue spaces and application to the wave equation. Zbl 1267.42019
Fiorenza, Alberto; Gogatishvili, Amiran; Kopaliani, Tengiz
3
2013
The weighted Stieltjes inequality and applications. Zbl 1268.26026
Gogatishvili, Amiran; Kufner, Alois; Persson, Lars-Erik
3
2013
Characterization of a rearrangement-invariant hull of a Besov space via interpolation. Zbl 1357.46030
Gogatishvili, Amiran; Pick, Luboš; Schneider, Jan
3
2012
On scales of equivalent conditions characterizing weighted Stieltjes inequality. Zbl 1261.42005
Gogatishvili, A.; Persson, L.-E.; Stepanov, V. D.; Wall, P.
3
2012
Integral operators on cones of monotone functions. Zbl 1263.47057
Gogatishvili, A.; Stepanov, V. D.
3
2012
Compact embeddings of Besov spaces involving only slowly varying smoothness. Zbl 1249.46026
Caetano, A.; Gogatishvili, A.; Opic, B.
3
2011
Solutions of some weight problems. Zbl 0806.46031
Genebashvili, Ioseb; Gogatishvili, Amiran; Kokilashvili, Vakhtang
3
1993
General weak type inequalities for the maximal operators and singular integrals. Zbl 0790.42008
Gogatishvili, A.
3
1992
Some new results related to Lorentz \(G\Gamma\)-spaces and interpolation. Zbl 1442.46014
Ahmed, Irshaad; Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran; Rakotoson, Jean Michel
2
2020
Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\). Zbl 1425.46017
Edmunds, David; Gogatishvili, Amiran; Kopaliani, Tengiz
2
2018
Embeddings between weighted Copson and Cesàro function spaces. Zbl 06819576
Gogatishvili, Amiran; Mustafayev, Rza; Ünver, Tuğçe
2
2017
Interpolation of uniformly absolutely continuous operators. Zbl 1273.46011
Cobos, Fernando; Gogatishvili, Amiran; Opic, Bohumír; Pick, Luboš
2
2013
On a theorem of Muckenhoupt-Wheeden in generalized Morrey spaces. Zbl 1250.42072
Gogatishvili, A.; Mustafayev, R.
2
2011
Some new scales of characterization of Hardy’s inequality. Zbl 1193.26017
Gogatishvili, Amiran; Kufner, Alois; Persson, Lars-Erik
2
2010
The \(\rho\)-quasiconcave functions and weighted inequalities. Zbl 1266.26037
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
2
2009
Fractional maximal functions in weighted Banach function spaces. Zbl 1015.42014
Gogatishvili, Amiran
2
2000
Two-weight mixed inequalities in Orlicz classes for fractional maximal functions defined on homogeneous type spaces. Zbl 0881.42016
Gogatishvili, A.
2
1997
Criteria of general weak type inequalities for integral transforms with positive kernels. Zbl 0802.42016
Genebashvili, I.; Gogatishvili, A.; Kokilashvili, V.
2
1994
Riesz transforms and maximal functions in \(\Phi\) (L) classes. Zbl 0716.44004
Gogatishvili, A. S.
2
1990
Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by \(L^{p}\)-modulus of smoothness. Zbl 1407.26021
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
1
2019
On the Rubio de Francia’s theorem in variable Lebesgue spaces. Zbl 1326.42023
Gogatishvili, Amiran; Kopaliani, Tengiz
1
2014
Estimates for imaginary powers of Laplace operator in variable Lebesgue spaces and applications. Zbl 1319.42012
Fiorenza, A.; Gogatishvili, A.; Kopaliani, T.
1
2014
Relations between some classes of functions of generalized bounded variation. Zbl 1307.42026
Gogatishvili, Amiran; Goginava, Ushangi; Tephnadze, George
1
2014
Calderón-type theorems for operators of non-standard endpoint behaviour. Zbl 1184.46024
Gogatishvili, Amiran; Pick, Luboš
1
2009
Some conditions characterizing the “reverse” Hardy inequality. Zbl 1170.26011
Gogatishvili, A.; Kuliev, K.; Kulieva, G.
1
2008
Optimal embedding for Calderon type spaces and \(J\)-method spaces. Zbl 1453.46062
Gogatishvili, A.; Ovchinnikov, V. I.
1
2006
A non-doubling Trudinger inequality. Zbl 1091.46019
Gogatishvili, Amiran; Koskela, Pekka
1
2005
Criteria of two-weight inequalities for integral transformations with a positive kernel and maximal functions. Zbl 0909.42011
Genebashvili, I. Z.; Gogatishvili, A. S.; Kokilashvili, V. M.
1
1996
Necessary and sufficient conditions for weighted Orlicz class inequalities for maximal functions and singular integrals. I. Zbl 0836.42012
Gogatishvili, A.; Kokilashvili, V.
1
1995
Criteria of weight inequalities for integral transforms defined on homogeneous type spaces. Zbl 0863.42015
Gogatishvili, A.; Kokilashvili, V.
1
1994
Weak type weighted inequalities for maximal functions with respect to the general basis. Zbl 0858.42009
Gogatishvili, A. S.
1
1992
Maximal functions in the classes \(\varphi{} (L)\). Zbl 0755.42011
Gogatishvili, A. S.; Kokilashvili, V. M.; Krbec, M.
1
1990
Some new results related to Lorentz \(G\Gamma\)-spaces and interpolation. Zbl 1442.46014
Ahmed, Irshaad; Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran; Rakotoson, Jean Michel
2
2020
Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by \(L^{p}\)-modulus of smoothness. Zbl 1407.26021
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
1
2019
On grand and small Lebesgue and Sobolev spaces and some applications to PDE’s. Zbl 1398.46025
Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran
10
2018
Characterization of interpolation between grand, small or classical Lebesgue spaces. Zbl 1409.46025
Fiorenza, Alberto; Formica, Maria Rosaria; Gogatishvili, Amiran; Kopaliani, Tengiz; Rakotoson, Jean Michel
7
2018
Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function. Zbl 1401.42018
Gogatishvili, Amiran; Mustafayev, Rza; Aǧcayazi, Müjdat
4
2018
Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\). Zbl 1425.46017
Edmunds, David; Gogatishvili, Amiran; Kopaliani, Tengiz
2
2018
Weighted iterated Hardy-type inequalities. Zbl 1375.26032
Gogatishvili, Amiran; Mustafayev, Rza Ch.
13
2017
Embeddings of Lorentz-type spaces involving weighted integral means. Zbl 1383.46023
Gogatishvili, Amiran; Křepela, Martin; Pick, Luboš; Soudský, Filip
6
2017
Iterated Hardy-type inequalities involving suprema. Zbl 1379.26018
Gogatishvili, Amiran; Mustafayev, Rza Ch.
5
2017
Embeddings between weighted Copson and Cesàro function spaces. Zbl 06819576
Gogatishvili, Amiran; Mustafayev, Rza; Ünver, Tuğçe
2
2017
Characterizations of Besov and Triebel-Lizorkin spaces via averages on balls. Zbl 1331.46023
Dai, Feng; Gogatishvili, Amiran; Yang, Dachun; Yuan, Wen
10
2016
Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces. Zbl 1432.46013
Caetano, António; Gogatishvili, Amiran; Opic, Bohumír
4
2016
A note on boundedness of the Hardy-Littlewood maximal operator on Morrey spaces. Zbl 1346.42017
Gogatishvili, A.; Mustafayev, R. Ch.
3
2016
A note on maximal commutators and commutators of maximal functions. Zbl 1330.42012
Agcayazi, Mujdat; Gogatishvili, Amiran; Koca, Kerim; Mustafayev, Rza
16
2015
Characterizations of Sobolev spaces via averages on balls. Zbl 1346.46023
Dai, Feng; Gogatishvili, Amiran; Yang, Dachun; Yuan, Wen
10
2015
Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings. Zbl 1361.46022
Gogatishvili, Amiran; Aykol, Canay; Guliyev, Vagif S.
3
2015
Embeddings of Sobolev-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness. Zbl 1318.26045
Gogatishvili, Amiran; Moura, Susana D.; Neves, Júlio S.; Opic, Bohumír
3
2015
Ulyanov-type inequalities between Lorentz-Zygmund spaces. Zbl 1316.41010
Gogatishvili, Amiran; Opic, Bohumír; Tikhonov, Sergey; Trebels, Walter
10
2014
Characterization of associate spaces of weighted Lorentz spaces with applications. Zbl 1325.46032
Gogatishvili, Amiran; Pick, Luboš; Soudský, Filip
8
2014
The rearrangement-invariant space \(\Gamma _{p,\phi}\). Zbl 1311.46025
Gogatishvili, Amiran; Kerman, Ron
5
2014
Local Hardy-Littlewood maximal operator in variable Lebesgue spaces. Zbl 1285.42018
Gogatishvili, A.; Danelia, A.; Kopaliani, T.
4
2014
Some scales of equivalent conditions to characterize the Stieltjes inequality: the case \(q<p\). Zbl 1298.26052
Gogatishvili, Amiran; Persson, Lars-Erik; Stepanov, Vladimir D.; Wall, Peter
3
2014
On the Rubio de Francia’s theorem in variable Lebesgue spaces. Zbl 1326.42023
Gogatishvili, Amiran; Kopaliani, Tengiz
1
2014
Estimates for imaginary powers of Laplace operator in variable Lebesgue spaces and applications. Zbl 1319.42012
Fiorenza, A.; Gogatishvili, A.; Kopaliani, T.
1
2014
Relations between some classes of functions of generalized bounded variation. Zbl 1307.42026
Gogatishvili, Amiran; Goginava, Ushangi; Tephnadze, George
1
2014
Reduction theorems for weighted integral inequalities on the cone of monotone functions. Zbl 1288.26018
Gogatishvili, A.; Stepanov, V. D.
34
2013
Characterizations of Besov and Triebel-Lizorkin spaces on metric measure spaces. Zbl 1278.42029
Gogatishvili, Amiran; Koskela, Pekka; Zhou, Yuan
32
2013
New pre-dual space of Morrey space. Zbl 1263.46031
Gogatishvili, A.; Mustafayev, R. Ch.
17
2013
Reduction theorems for operators on the cones of monotone functions. Zbl 1326.47063
Gogatishvili, Amiran; Stepanov, Vladimir D.
16
2013
Some new iterated Hardy-type inequalities: the case \({\theta=1}\). Zbl 1297.26035
Gogatishvili, Amiran; Mustafayev, Rza; Persson, Lars-Erik
8
2013
Boundedness of Stein’s spherical maximal function in variable Lebesgue spaces and application to the wave equation. Zbl 1267.42019
Fiorenza, Alberto; Gogatishvili, Amiran; Kopaliani, Tengiz
3
2013
The weighted Stieltjes inequality and applications. Zbl 1268.26026
Gogatishvili, Amiran; Kufner, Alois; Persson, Lars-Erik
3
2013
Interpolation of uniformly absolutely continuous operators. Zbl 1273.46011
Cobos, Fernando; Gogatishvili, Amiran; Opic, Bohumír; Pick, Luboš
2
2013
Some new iterated Hardy-type inequalities. Zbl 1260.26023
Gogatishvili, A.; Mustafayev, R. Ch.; Persson, L.-E.
13
2012
Equivalence of norms of Riesz potential and fractional maximal function in generalized Morrey spaces. Zbl 1258.42017
Gogatishvili, Amiran; Mustafayev, Rza
4
2012
Integral operators on cones of monotone functions. Zbl 1281.26014
Gogatishvili, A.; Stepanov, V. D.
4
2012
Characterization of a rearrangement-invariant hull of a Besov space via interpolation. Zbl 1357.46030
Gogatishvili, Amiran; Pick, Luboš; Schneider, Jan
3
2012
On scales of equivalent conditions characterizing weighted Stieltjes inequality. Zbl 1261.42005
Gogatishvili, A.; Persson, L.-E.; Stepanov, V. D.; Wall, P.
3
2012
Integral operators on cones of monotone functions. Zbl 1263.47057
Gogatishvili, A.; Stepanov, V. D.
3
2012
Boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1223.42008
Burenkov, Victor I.; Gogatishvili, Amiran; Guliyev, Vagif S.; Mustafayev, Rza Ch.
32
2011
Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness. Zbl 1238.46024
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumír
9
2011
Dual spaces of local Morrey-type spaces. Zbl 1249.46020
Gogatishvili, Amiran; Mustafayev, Rza
8
2011
Compact embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness. Zbl 1213.46029
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
7
2011
Compact embeddings of Besov spaces involving only slowly varying smoothness. Zbl 1249.46026
Caetano, A.; Gogatishvili, A.; Opic, B.
3
2011
On a theorem of Muckenhoupt-Wheeden in generalized Morrey spaces. Zbl 1250.42072
Gogatishvili, A.; Mustafayev, R.
2
2011
Boundedness of the fractional maximal operator in local Morrey-type spaces. Zbl 1207.42015
Burenkov, V. I.; Gogatishvili, A.; Guliyev, V. S.; Mustafayev, R. Ch.
56
2010
Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033
Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari
25
2010
Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness. Zbl 1197.46017
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
9
2010
Sharp estimates of the \(k\)-modulus of smoothness of Bessel potentials. Zbl 1194.26026
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
7
2010
Some new scales of characterization of Hardy’s inequality. Zbl 1193.26017
Gogatishvili, Amiran; Kufner, Alois; Persson, Lars-Erik
2
2010
Some new scales of weight characterizations of the class \(B_p\). Zbl 1199.26057
Gogatishvili, A.; Kufner, A.; Persson, L.-E.
9
2009
Optimal embeddings and compact embeddings of Bessel-potential-type spaces. Zbl 1179.46029
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
7
2009
The \(\rho\)-quasiconcave functions and weighted inequalities. Zbl 1266.26037
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
2
2009
Calderón-type theorems for operators of non-standard endpoint behaviour. Zbl 1184.46024
Gogatishvili, Amiran; Pick, Luboš
1
2009
Weighted inequalities involving two Hardy operators with applications to embeddings of function spaces. Zbl 1150.26001
Carro, María; Gogatishvili, Amiran; Martín, Joaquim; Pick, Luboš
19
2008
Sharp embeddings of Besov spaces involving only logarithmic smoothness. Zbl 1161.46017
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumir
17
2008
The reverse Hardy inequality with measures. Zbl 1136.26004
Evans, W. Desmond; Gogatishvili, Amiran; Opic, Bohumír
5
2008
Some conditions characterizing the “reverse” Hardy inequality. Zbl 1170.26011
Gogatishvili, A.; Kuliev, K.; Kulieva, G.
1
2008
A reduction theorem for supremum operators. Zbl 1127.26012
Gogatishvili, Amiran; Pick, Luboš
18
2007
Characterisation of embeddings in Lorentz spaces. Zbl 1128.26012
Gogatishvili, A.; Johansson, M.; Okpoti, C. A.; Persson, L.-E.
10
2007
Sharpness and non-compactness of embeddings of Bessel-potential-type spaces. Zbl 1137.46020
Gogatishvili, Amiran; Neves, Júlio Severino; Opic, Bohumír
6
2007
Interpolation orbits and optimal Sobolev’s embeddings. Zbl 1137.46021
Gogatishvili, Amiran; Ovchinnikov, Vladimir I.
4
2007
Weighted inequalities for Hardy-type operators involving suprema. Zbl 1116.47041
Gogatishvili, Amiran; Opic, Bohumír; Pick, Luboš
31
2006
Embeddings and duality theorem for weak classical Lorentz spaces. Zbl 1106.26018
Gogatishvili, Amiran; Pick, Luboš
16
2006
Optimal embedding for Calderon type spaces and \(J\)-method spaces. Zbl 1453.46062
Gogatishvili, A.; Ovchinnikov, V. I.
1
2006
Limiting reiteration for real interpolation with slowly varying functions. Zbl 1080.46012
Gogatishvili, Amiran; Opic, Bohumír; Trebels, Walter
40
2005
Functional properties of rearrangement invariant spaces defined in terms of oscillations. Zbl 1110.46012
Carro, María J.; Gogatishvili, Amiran; Martín, Joaquim; Pick, Luboš
17
2005
Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces. Zbl 1096.46016
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír
5
2005
A non-doubling Trudinger inequality. Zbl 1091.46019
Gogatishvili, Amiran; Koskela, Pekka
1
2005
An equivalence theorem for integral conditions related to Hardy’s inequality. Zbl 1070.26015
Gogatishvili, Amiram; Kufner, Alois; Persson, Lars-Erik; Wedestig, Anna
18
2004
Optimality of embeddings of Bessel-potential-type spaces into Lorentz-Karamata spaces. Zbl 1076.46021
Gogatishvili, Amiran; Opic, Bohumír; Neves, Júlio S.
8
2004
Discretization and anti-discretization of rearrangement-invariant norms. Zbl 1066.46023
Gogatishvili, Amiran; Pick, Luboš
37
2003
Duality principles and reduction theorems. Zbl 0985.46013
Gogatishvili, Amiran; Pick, Luboš
8
2000
Fractional maximal functions in weighted Banach function spaces. Zbl 1015.42014
Gogatishvili, Amiran
2
2000
The generalized Hardy operator with kernel and variable integral limits in Banach function spaces. Zbl 0947.47020
Gogatishvili, A.; Lang, J.
24
1999
Weight theory for integral transforms on spaces of homogeneous type. Zbl 0955.42001
Genebashvili, I.; Gogatishvili, A.; Kokilashvili, V.; Krbec, M.
56
1998
Two-weight mixed inequalities in Orlicz classes for fractional maximal functions defined on homogeneous type spaces. Zbl 0881.42016
Gogatishvili, A.
2
1997
Solution of two-weight problems for integral transforms with positive kernels. Zbl 1056.42507
Genebashvili, I.; Gogatishvili, A.; Kokilashvili, V.
6
1996
Criteria of strong type two-weighted inequalities for fractional maximal functions. Zbl 0884.42015
Gogatishvili, A.; Kokilashvili, V.
4
1996
Criteria of two-weight inequalities for integral transformations with a positive kernel and maximal functions. Zbl 0909.42011
Genebashvili, I. Z.; Gogatishvili, A. S.; Kokilashvili, V. M.
1
1996
Necessary and sufficient conditions for weighted Orlicz class inequalities for maximal functions and singular integrals. I. Zbl 0836.42012
Gogatishvili, A.; Kokilashvili, V.
1
1995
Criteria of weighted inequalities in Orlicz classes for maximal functions defined on homogeneous type spaces. Zbl 0819.42007
Gogatishvili, A.; Kokilashvili, V.
6
1994
Criteria of general weak type inequalities for integral transforms with positive kernels. Zbl 0802.42016
Genebashvili, I.; Gogatishvili, A.; Kokilashvili, V.
2
1994
Criteria of weight inequalities for integral transforms defined on homogeneous type spaces. Zbl 0863.42015
Gogatishvili, A.; Kokilashvili, V.
1
1994
Criteria of general weak type inequalities for integral transforms with positive kernels. Zbl 0803.42011
Genebashvili, I.; Gogatishvili, A.; Kokilashvili, V.
6
1993
Weak and extra-weak type inequalities for the maximal operator and the Hilbert transform. Zbl 0798.42009
Gogatishvili, Amiran; Pick, Luboš
5
1993
Maximal functions, \(\varphi(L)\) classes and Carleson measures. Zbl 0815.42010
Gogatishvili, A.; Kokilashvili, V.; Krbec, M.
4
1993
Solutions of some weight problems. Zbl 0806.46031
Genebashvili, Ioseb; Gogatishvili, Amiran; Kokilashvili, Vakhtang
3
1993
General weak type inequalities for the maximal operators and singular integrals. Zbl 0790.42008
Gogatishvili, A.
3
1992
Weak type weighted inequalities for maximal functions with respect to the general basis. Zbl 0858.42009
Gogatishvili, A. S.
1
1992
Riesz transforms and maximal functions in \(\Phi\) (L) classes. Zbl 0716.44004
Gogatishvili, A. S.
2
1990
Maximal functions in the classes \(\varphi{} (L)\). Zbl 0755.42011
Gogatishvili, A. S.; Kokilashvili, V. M.; Krbec, M.
1
1990
all top 5

Cited by 426 Authors

52 Gogatishvili, Amiran
39 Guliyev, Vagif Sabir
29 Stepanov, Vladimir Dmitrievich
16 Opic, Bohumír
16 Sawano, Yoshihiro
15 Mizuta, Yoshihiro
15 Pick, Luboš
15 Shambilova, Guldarya Ermakovna
15 Shimomura, Tetsu
14 Persson, Lars-Erik
14 Yang, Dachun
13 Cobos, Fernando
13 Gol’dman, Mikhail L’vovich
13 Mustafayev, Rza Ch.
12 Fiorenza, Alberto
12 Kokilashvili, Vakhtang Mikhailovich
12 Yuan, Wen
11 Neves, Júlio Severino
11 Samko, Stefan Grigorievich
10 Ohno, Takao
10 Prokhorov, Dmitriĭ Vladimirovich
9 Deringoz, Fatih
9 Křepela, Martin
8 Cianchi, Andrea
8 Dominguez, Oscar
8 Haroske, Dorothee D.
8 Heikkinen, Toni
8 Ho, Kwok-Pun
8 Tuominen, Heli
7 Ahmed, Irshaad
7 Tikhonov, Sergey Yur’evich
6 Besov, Oleg Vladimirovich
6 Burenkov, Viktor Ivanovich
6 Fernández-Martínez, Pedro
6 Hasanov, Javanshir J.
6 Hasanov, Sabir G.
6 Koskela, Pekka
6 Meskhi, Alexander
6 Serbetci, Ayhan
6 Ushakova, Elena Pavlovna
6 Zhou, Yuan
5 Edmunds, David Eric
5 Kinnunen, Juha
5 Kopaliani, Tengiz
5 Maligranda, Lech
5 Domingues de Moura, Susana
5 Shanmugalingam, Nageswari
5 Soto, Tomás
5 Wheeden, Richard Lee
5 Zhang, Pu
4 Alberico, Angela
4 Caetano, António M.
4 Doktorski, Leo R. Ya.
4 Karadzhov, Georgi Eremiev
4 Karlovich, Alexeĭ Yur’evich
4 Nekvinda, Aleš
4 Oĭnarov, Ryskul Oĭnarovich
4 Omarova, Mehriban N.
4 Rakotoson, Jean-Michel
4 Sbordone, Carlo
4 Signes, Teresa M.
3 Akgun, Ramazan
3 Almeida, Alexandre
3 Aykol, Canay
3 Badalov, Xayyam A.
3 Bernardis, Ana L.
3 Fernández-Cabrera, Luz M.
3 Formica, Maria Rosaria
3 Franchi, Bruno
3 Gorbachëv, Dmitriĭ Viktorovich
3 Gurbuz, Ferit
3 Hakim, Denny Ivanal
3 Jain, Pankaj
3 Karaman, Turhan
3 Kufner, Alois
3 Kühn, Thomas
3 Malysheva, A. V.
3 Mammadov, Yagub Y.
3 Martín-Reyes, Francisco Javier
3 Matsuoka, Katsuo
3 Mehmood, Qaisar
3 Nakai, Eiichi
3 Nuutinen, Juho
3 Okpoti, Christopher Adjei
3 Ortega Salvador, Pedro
3 Rosenthal, Marcel
3 Saksman, Eero
3 Sinnamon, Gord
3 Soudský, Filip
3 Sun, Hongyan
3 Tanaka, Hitoshi
3 Tang, Tao
3 Trebels, Walter
3 Triebel, Hans
2 Aimar, Hugo A.
2 Akbulut, Ali
2 Aliev, Seymur S.
2 Alonso-Ruiz, Patricia
2 Asif, Muhammad
2 Astashkin, Sergeĭ Vladimir
...and 326 more Authors
all top 5

Cited in 128 Serials

38 Journal of Mathematical Analysis and Applications
21 Doklady Mathematics
18 Mathematische Nachrichten
14 Journal of Functional Analysis
12 Journal of Function Spaces
11 Journal of Approximation Theory
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Potential Analysis
10 Zeitschrift für Analysis und ihre Anwendungen
10 Georgian Mathematical Journal
10 The Journal of Fourier Analysis and Applications
10 Journal of Inequalities and Applications
10 Complex Variables and Elliptic Equations
9 Proceedings of the American Mathematical Society
9 Mediterranean Journal of Mathematics
9 Eurasian Mathematical Journal
8 Mathematical Notes
8 Mathematical Inequalities & Applications
8 Proceedings of the Steklov Institute of Mathematics
7 Siberian Mathematical Journal
7 Transactions of the American Mathematical Society
7 Revista Matemática Complutense
7 Acta Mathematica Sinica. English Series
6 Czechoslovak Mathematical Journal
6 Positivity
6 Banach Journal of Mathematical Analysis
6 Analysis and Mathematical Physics
5 Studia Mathematica
5 Collectanea Mathematica
5 Journal of Mathematical Sciences (New York)
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 Journal of Function Spaces and Applications
4 Integral Equations and Operator Theory
4 The Journal of Geometric Analysis
4 Annals of Functional Analysis
3 Analysis Mathematica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Computational and Applied Mathematics
3 Mathematische Annalen
3 Constructive Approximation
3 Forum Mathematicum
3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Indian Journal of Pure & Applied Mathematics
2 Russian Mathematical Surveys
2 Arkiv för Matematik
2 Annales Polonici Mathematici
2 Archiv der Mathematik
2 Canadian Mathematical Bulletin
2 Indiana University Mathematics Journal
2 Journal of Differential Equations
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Real Analysis Exchange
2 Results in Mathematics
2 Acta Mathematica Hungarica
2 Publicacions Matemàtiques
2 Journal of Integral Equations and Applications
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Bulletin des Sciences Mathématiques
2 Integral Transforms and Special Functions
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Communications in Contemporary Mathematics
2 Portugaliae Mathematica. Nova Série
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Fixed Point Theory and Applications
2 Frontiers of Mathematics in China
2 Journal of Mathematical Inequalities
2 Tbilisi Mathematical Journal
2 Science China. Mathematics
2 Journal of Pseudo-Differential Operators and Applications
2 Kyoto Journal of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Analysis and Geometry in Metric Spaces
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Journal d’Analyse Mathématique
1 Mathematics of Computation
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Canadian Journal of Mathematics
1 Demonstratio Mathematica
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Journal of Optimization Theory and Applications
1 Journal für die Reine und Angewandte Mathematik
1 Mathematica Slovaca
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quaestiones Mathematicae
1 Revista de la Unión Matemática Argentina
1 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Numerical Mathematics
1 Journal of Scientific Computing
1 Applied Mathematical Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
...and 28 more Serials

Citations by Year