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Karapetyants, Nikolai K.

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Author ID: karapetyants.nikolai-k Recent zbMATH articles by "Karapetyants, Nikolai K."
Published as: Karapetiants, N.; Karapetiants, N. K.; Karapetiants, Nikolai K.; Karapetjanc, N. K.; Karapetyants, N. K.; Karapetyants, Nikolai K.
Documents Indexed: 117 Publications since 1966, including 2 Books
Reviewing Activity: 242 Reviews

Publications by Year

Citations contained in zbMATH

50 Publications have been cited 231 times in 146 Documents Cited by Year
Equations with involutive operators. Zbl 0990.47011
Karapetiants, N.; Samko, Stefan
54
2001
Weighted theorems on fractional integrals in the generalized Hölder spaces via indices \(m_\omega\) and \(M_\omega\). Zbl 1114.26005
Karapetyants, Nikolai K.; Samko, Natasha
15
2004
Fractional integrals and singular integrals in the Hölder classes of variable order. Zbl 0842.26006
Karapetyants, N. K.; Ginsburg, A. I.
12
1994
Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G.
11
2000
Fractional integrodifferentiation in Hölder classes of arbitrary order. Zbl 0820.26004
Karapetyants, N. K.; Ginzburg, A. I.
10
1995
Multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1044.47513
Avsyankin, O. G.; Karapetyants, N. K.
8
1999
Fractional integrodifferentiation in Hölder classes of variable order. Zbl 0884.26006
Ginzburg, A. I.; Karapetyants, N. K.
8
1994
Algebra of multidimensional integral operators with homogeneous kernels with varying coefficients. Zbl 1027.47040
Avsyankin, O. G.; Karapetyants, N. K.
7
2001
Multi-dimensional integral operators with homogeneous kernels. Zbl 1043.47509
Karapetiants, Nikolai K.; Samko, Stefan G.
7
1999
On the solution of nonlinear Volterra convolution equation with power nonlinearity. Zbl 0874.45002
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi
7
1996
Equations with involutive operators and their applications. Zbl 0782.47011
Karapetyants, N. K.; Samko, S. G.
7
1988
A convolution equation with power nonlinearity of negative order. Zbl 0770.45009
Karapetyants, N. K.; Yakubov, A. Ya.
6
1991
Spherical hypersingular operators of imaginary order and their multipliers. Zbl 1072.47513
Vakulov, Boris G.; Karapetiants, Nikolai K.; Shankishvili, Lamara D.
5
2001
Necessary conditions for the boundedness of an operator with nonnegative quasihomogeneous kernel. Zbl 0486.47019
Karapetyants, N. K.
5
1981
Projection method in the theory of integral operators with homogeneous kernels. Zbl 1110.47305
Avsyankin, O. G.; Karapetyants, N. K.
4
2004
Singular integral operators on the axis with fractional linear shift and the Noether property of operators with involution. Zbl 0233.47036
Karapetyants, N. K.; Samko, S. G.
4
1972
On discrete Wiener-Hopf operators with oscillating coefficients. Zbl 0234.47028
Karapetyants, N. K.; Samko, S. G.
4
1971
On the pseudospectra of multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1036.45001
Avsyankin, O. G.; Karapetyants, N. K.
3
2003
On Fredholm properties of a class of Hankel operators. Zbl 0966.45010
Karapetiants, N. K.; Samko, S. G.
3
2000
Integral equations of convolution type with a power nonlinearity, and their systems. Zbl 0726.45006
Askhabov, S. N.; Karapetyants, N. K.; Yakubov, A. Ya.
3
1990
On a nonlinear equation of convolution type. Zbl 0607.45003
Askhabov, S. N.; Karapetyants, N. K.; Yakubov, A. Ya.
3
1986
A class of nonlinear equations of convolution type. Zbl 0623.45014
Karapetyants, N. K.
3
1985
Radial Riesz potentials on the disk and fractional integration operators. Zbl 0566.45020
Karapetjanc, N. K.; Rubin, B. S.
3
1982
On the index of some classes of integral operators. Zbl 0214.12401
Karapetyants, N. K.; Samko, S. G.
3
1970
On the functional equation \(\psi(x + \alpha) - b(x)\psi(x) = g(x)\). Zbl 0205.15001
Karapetyants, N. K.; Samko, S. G.
3
1970
Spherical convolution operators with a power-logarithmic kernel in generalized Hölder spaces. Zbl 1076.42010
Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D.
2
2003
Spherical potentials of complex order in generalized weighted Hölder spaces. Zbl 1136.31307
Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D.
2
2002
On multi-dimensional integral equations of convolution type with shift. Zbl 0987.47007
Karapetiants, N. K.; Samko, S. G.
2
2001
A short proof of Hardy-Littlewood-type theorem for fractional integrals in weighted Hölder spaces. Zbl 1030.26007
Karapetiants, Nikolai K.; Shankishvili, Lamara D.
2
1999
Discrete equations of convolution type with monotone nonlinearity. Zbl 0685.45003
Askhabov, S. N.; Karapetyants, N. K.
2
1989
On fractional integrals with limiting exponent. Zbl 0664.26003
Karapetyants, N. K.; Rubin, B. S.
2
1988
Singular integral equations with Carleman shift in the case of discontinuous coefficients, and the investigation of the Noetherian nature of a class of linear operators with involution. Zbl 0288.45011
Karapetjanc, N. K.; Samko, S. G.
2
1973
Diskrete Gleichungen vom Faltungstyp in einem Ausnahmefall. Zbl 0199.21103
Karapetyants, N. K.
2
1970
Potential-type operators on a sphere with singularities at the poles. Zbl 1124.31300
Vakulov, B. G.; Karapetyants, N. K.
1
2003
Fractional integro-differentiation of the complex order in generalized Hölder spaces \(H_0^\omega([0,1],\rho)\). Zbl 1027.26005
Karapetiants, Nikolai K.; Shankishvili, Lamara D.
1
2002
On the compactness of multidimensional integral operators with homogeneous kernels with variable coefficients. Zbl 1053.47045
Avsyankin, O. G.; Karapetyants, N. K.
1
2001
Singular integral equations on the real line with a fractional-linear Carleman shift. Zbl 1027.47012
Karapetiants, N.; Samko, S.
1
2000
Lebesgue points for fractional integral. Zbl 0842.26007
Karapetyants, Nikolai K.; Ginsburg, Anna I.
1
1995
Fractional integrals in the limiting case. Zbl 0847.26009
Karapetyants, N. K.; Ginzburg, A. I.
1
1993
On an isomorphism realized by fractional integrals in generalized Nikol’skij’s classes. Zbl 0810.26004
Karapetyants, N. K.; Murdaev, Kh. M.; Yakubov, A. Ya.
1
1992
Discrete equations of convolution type with a monotone nonlinearity in complex spaces. Zbl 0834.47054
Askhabov, S. N.; Karapetyants, N. K.
1
1992
Modulus of continuity of the convolution operators on a segment. Zbl 0772.26007
Karapetyants, N. K.
1
1992
On an isomorphism implemented by fractional integrals in generalized Hölder classes. Zbl 0745.26005
Karapetyants, N. K.; Murdaev, Kh. M.; Yakubov, A. Ya.
1
1990
On integral operators with coordinatewise homogeneous kernels. Zbl 0513.45016
Karapetyants, N. K.
1
1982
Complete continuity of some classes of operators of convolution type and with homogeneous kernels. Zbl 0481.47035
Karapetyants, N. K.
1
1981
On the boundedness of integral operators with quasihomogeneous kernels. Zbl 0351.47038
Karapetjanc, N. K.
1
1977
Über eine Klasse von Gleichungen des Faltungstyps mit Verschiebung. Zbl 0329.45008
Karapetjanc, N. K.
1
1976
On a class of integral equations of convolution type and its application. Zbl 0208.37201
Karapetyants, N. K.; Samko, S. G.
1
1970
Discrete equations of convolution type in an exceptional case. Zbl 0205.43102
Karapetyants, N. K.
1
1970
Anwendung der Normalisationsmethode auf eine Klasse von unendlichen Systemen von linearen algebraischen Gleichungen. Zbl 0181.42503
Dybin, V. B.; Karapetyants, N. K.
1
1967
Weighted theorems on fractional integrals in the generalized Hölder spaces via indices \(m_\omega\) and \(M_\omega\). Zbl 1114.26005
Karapetyants, Nikolai K.; Samko, Natasha
15
2004
Projection method in the theory of integral operators with homogeneous kernels. Zbl 1110.47305
Avsyankin, O. G.; Karapetyants, N. K.
4
2004
On the pseudospectra of multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1036.45001
Avsyankin, O. G.; Karapetyants, N. K.
3
2003
Spherical convolution operators with a power-logarithmic kernel in generalized Hölder spaces. Zbl 1076.42010
Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D.
2
2003
Potential-type operators on a sphere with singularities at the poles. Zbl 1124.31300
Vakulov, B. G.; Karapetyants, N. K.
1
2003
Spherical potentials of complex order in generalized weighted Hölder spaces. Zbl 1136.31307
Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D.
2
2002
Fractional integro-differentiation of the complex order in generalized Hölder spaces \(H_0^\omega([0,1],\rho)\). Zbl 1027.26005
Karapetiants, Nikolai K.; Shankishvili, Lamara D.
1
2002
Equations with involutive operators. Zbl 0990.47011
Karapetiants, N.; Samko, Stefan
54
2001
Algebra of multidimensional integral operators with homogeneous kernels with varying coefficients. Zbl 1027.47040
Avsyankin, O. G.; Karapetyants, N. K.
7
2001
Spherical hypersingular operators of imaginary order and their multipliers. Zbl 1072.47513
Vakulov, Boris G.; Karapetiants, Nikolai K.; Shankishvili, Lamara D.
5
2001
On multi-dimensional integral equations of convolution type with shift. Zbl 0987.47007
Karapetiants, N. K.; Samko, S. G.
2
2001
On the compactness of multidimensional integral operators with homogeneous kernels with variable coefficients. Zbl 1053.47045
Avsyankin, O. G.; Karapetyants, N. K.
1
2001
Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G.
11
2000
On Fredholm properties of a class of Hankel operators. Zbl 0966.45010
Karapetiants, N. K.; Samko, S. G.
3
2000
Singular integral equations on the real line with a fractional-linear Carleman shift. Zbl 1027.47012
Karapetiants, N.; Samko, S.
1
2000
Multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1044.47513
Avsyankin, O. G.; Karapetyants, N. K.
8
1999
Multi-dimensional integral operators with homogeneous kernels. Zbl 1043.47509
Karapetiants, Nikolai K.; Samko, Stefan G.
7
1999
A short proof of Hardy-Littlewood-type theorem for fractional integrals in weighted Hölder spaces. Zbl 1030.26007
Karapetiants, Nikolai K.; Shankishvili, Lamara D.
2
1999
On the solution of nonlinear Volterra convolution equation with power nonlinearity. Zbl 0874.45002
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi
7
1996
Fractional integrodifferentiation in Hölder classes of arbitrary order. Zbl 0820.26004
Karapetyants, N. K.; Ginzburg, A. I.
10
1995
Lebesgue points for fractional integral. Zbl 0842.26007
Karapetyants, Nikolai K.; Ginsburg, Anna I.
1
1995
Fractional integrals and singular integrals in the Hölder classes of variable order. Zbl 0842.26006
Karapetyants, N. K.; Ginsburg, A. I.
12
1994
Fractional integrodifferentiation in Hölder classes of variable order. Zbl 0884.26006
Ginzburg, A. I.; Karapetyants, N. K.
8
1994
Fractional integrals in the limiting case. Zbl 0847.26009
Karapetyants, N. K.; Ginzburg, A. I.
1
1993
On an isomorphism realized by fractional integrals in generalized Nikol’skij’s classes. Zbl 0810.26004
Karapetyants, N. K.; Murdaev, Kh. M.; Yakubov, A. Ya.
1
1992
Discrete equations of convolution type with a monotone nonlinearity in complex spaces. Zbl 0834.47054
Askhabov, S. N.; Karapetyants, N. K.
1
1992
Modulus of continuity of the convolution operators on a segment. Zbl 0772.26007
Karapetyants, N. K.
1
1992
A convolution equation with power nonlinearity of negative order. Zbl 0770.45009
Karapetyants, N. K.; Yakubov, A. Ya.
6
1991
Integral equations of convolution type with a power nonlinearity, and their systems. Zbl 0726.45006
Askhabov, S. N.; Karapetyants, N. K.; Yakubov, A. Ya.
3
1990
On an isomorphism implemented by fractional integrals in generalized Hölder classes. Zbl 0745.26005
Karapetyants, N. K.; Murdaev, Kh. M.; Yakubov, A. Ya.
1
1990
Discrete equations of convolution type with monotone nonlinearity. Zbl 0685.45003
Askhabov, S. N.; Karapetyants, N. K.
2
1989
Equations with involutive operators and their applications. Zbl 0782.47011
Karapetyants, N. K.; Samko, S. G.
7
1988
On fractional integrals with limiting exponent. Zbl 0664.26003
Karapetyants, N. K.; Rubin, B. S.
2
1988
On a nonlinear equation of convolution type. Zbl 0607.45003
Askhabov, S. N.; Karapetyants, N. K.; Yakubov, A. Ya.
3
1986
A class of nonlinear equations of convolution type. Zbl 0623.45014
Karapetyants, N. K.
3
1985
Radial Riesz potentials on the disk and fractional integration operators. Zbl 0566.45020
Karapetjanc, N. K.; Rubin, B. S.
3
1982
On integral operators with coordinatewise homogeneous kernels. Zbl 0513.45016
Karapetyants, N. K.
1
1982
Necessary conditions for the boundedness of an operator with nonnegative quasihomogeneous kernel. Zbl 0486.47019
Karapetyants, N. K.
5
1981
Complete continuity of some classes of operators of convolution type and with homogeneous kernels. Zbl 0481.47035
Karapetyants, N. K.
1
1981
On the boundedness of integral operators with quasihomogeneous kernels. Zbl 0351.47038
Karapetjanc, N. K.
1
1977
Über eine Klasse von Gleichungen des Faltungstyps mit Verschiebung. Zbl 0329.45008
Karapetjanc, N. K.
1
1976
Singular integral equations with Carleman shift in the case of discontinuous coefficients, and the investigation of the Noetherian nature of a class of linear operators with involution. Zbl 0288.45011
Karapetjanc, N. K.; Samko, S. G.
2
1973
Singular integral operators on the axis with fractional linear shift and the Noether property of operators with involution. Zbl 0233.47036
Karapetyants, N. K.; Samko, S. G.
4
1972
On discrete Wiener-Hopf operators with oscillating coefficients. Zbl 0234.47028
Karapetyants, N. K.; Samko, S. G.
4
1971
On the index of some classes of integral operators. Zbl 0214.12401
Karapetyants, N. K.; Samko, S. G.
3
1970
On the functional equation \(\psi(x + \alpha) - b(x)\psi(x) = g(x)\). Zbl 0205.15001
Karapetyants, N. K.; Samko, S. G.
3
1970
Diskrete Gleichungen vom Faltungstyp in einem Ausnahmefall. Zbl 0199.21103
Karapetyants, N. K.
2
1970
On a class of integral equations of convolution type and its application. Zbl 0208.37201
Karapetyants, N. K.; Samko, S. G.
1
1970
Discrete equations of convolution type in an exceptional case. Zbl 0205.43102
Karapetyants, N. K.
1
1970
Anwendung der Normalisationsmethode auf eine Klasse von unendlichen Systemen von linearen algebraischen Gleichungen. Zbl 0181.42503
Dybin, V. B.; Karapetyants, N. K.
1
1967
all top 5

Cited by 143 Authors

22 Samko, Stefan Grigorievich
19 Avsyankin, Oleg Gennadievich
9 Deundyak, Vladimir Mikhaĭlovich
8 Pinheiro de Castro, Luís Filipe
8 Samko, Natasha
8 Vakulov, Boris Grigorievich
7 Karapetyants, Nikolai K.
5 Persson, Lars-Erik
4 Kilbas, Anatoliĭ Aleksandrovich
3 Karapetyants, Alexey N.
3 Lebre, Amarino Brites
3 Li, Chengkuan
3 Lukkassen, Dag
3 Rafeiro, Humberto
3 Rojas, Edixon Manuel
3 Saigo, Megumi
3 Shapiro, Michael V.
3 Umarkhadzhiev, Salaudin Musaevich
2 Arias, Mariano R.
2 Benitez, Rafael
2 Broyan, Marine Firdusovich
2 Burtseva, Evgeniya
2 Clarkson, Kyle
2 Coclite, Mario Michele
2 Drobotov, Yuri Evgenievich
2 Karlovich, Alexeĭ Yur’evich
2 Khachatryan, Khachatur Aghavardovich
2 Kokilashvili, Vakhtang Mikhailovich
2 Kravchenko, Viktor G.
2 Kryakvin, Vadim Donatovich
2 Li, Pingrun
2 Samko, Natalia G.
2 Silbermann, Bernd
2 Silva, Anabela S.
2 Speck, Frank-Olme
2 Teixeira, Francisco S.
2 Terdzhyan, Tsolak Èrnestovich
2 Wall, Peter
2 Yakubov, Askhab Ya.
1 Ali, Hegagi Mohamed
1 Almeida, Alexandre
1 Antonevich, Anatolij Borisovich
1 Arabadzhyan, L. G.
1 Arens, Tilo
1 Askhabov, Sultan Nazhmudinovich
1 Bantsuri, R. D.
1 Basor, Estelle L.
1 Ben Adda, Fayçal
1 Bogveradze, Giorgi
1 Bolós, Vicente J.
1 Cardoso, Rogério P.
1 Carena, Marilina
1 Chandler-Wilde, Simon N.
1 Cianci, Paolo
1 Coclite, Giuseppe Maria
1 Costabel, Martin
1 Cresson, Jacky
1 Denisenko, Valeriĭ Vasil’evich
1 Didenko, Victor D.
1 Diening, Lars
1 Ehrhardt, Torsten
1 Engibaryan, Norayr B.
1 Eshima, Nobuoki
1 Fečkan, Michal
1 Furati, Khaled M.
1 Gama, Silvio Marques A.
1 Ganzburg, Michael Iosifovich
1 Garif’yanov, Farkhat Nurgayazovich
1 Gil, Alexey V.
1 Gilbert, Robert Pertsch
1 Ginzburg, A. I.
1 Gorodetskii, M. B.
1 Haseloh, Kai O.
1 Humphries, Thomas
1 Iaffei, Bibiana
1 Jain, Pankaj
1 Jain, Sandhya
1 Kamalyan, Armen G.
1 Kaplitskiĭ, Vitaliĭ Markovich
1 Karapetiants, Nicolai K.
1 Karelin, Alexander A.
1 Karelin, Oleksandr
1 Karlovich, Yuri I.
1 Kochurov, E. S.
1 Koval’chuk, Alisa Markovna
1 Kukushkin, Maksim V.
1 Kurata, Kazuhiro
1 Kurbatov, Vitaliĭ Gennad’evich
1 Li, Changpin
1 Liflyand, Elijah
1 Lin, Zhongyan
1 Lipovan, Olivia
1 Lobo Pereira, Fernando
1 Lukin, Aleksandr Vasil’evich
1 Lytvynchuk, Georgiĭ Semenovych
1 Manjavidze, Giorgi F.
1 Manjavidze, Nino
1 Medveď, Milan
1 Meskhi, Alexander
1 Miroshnikova, E. I.
...and 43 more Authors
all top 5

Cited in 55 Serials

17 Mathematical Notes
12 Journal of Mathematical Analysis and Applications
9 Journal of Mathematical Sciences (New York)
8 Journal of Integral Equations and Applications
8 Russian Mathematics
7 Integral Equations and Operator Theory
7 Differential Equations
6 Siberian Mathematical Journal
5 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Fractional Calculus & Applied Analysis
3 Doklady Mathematics
3 Journal of Function Spaces and Applications
3 Mediterranean Journal of Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Georgian Mathematical Journal
2 Integral Transforms and Special Functions
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Journal of Inequalities and Applications
2 Proceedings of the Steklov Institute of Mathematics
2 Complex Analysis and Operator Theory
2 Axioms
2 Mathematics
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Journal d’Analyse Mathématique
1 Mathematical Methods in the Applied Sciences
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Dissertationes Mathematicae
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Equations
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Mathematical and Computer Modelling
1 Journal of Global Optimization
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Indagationes Mathematicae. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Bulletin des Sciences Mathématiques
1 The Journal of Fourier Analysis and Applications
1 Nonlinear Dynamics
1 Revista Matemática Complutense
1 Lobachevskii Journal of Mathematics
1 Matematicheskoe Modelirovanie
1 Fixed Point Theory and Applications
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Nonlinear Oscillations
1 Journal of Spectral Theory
1 Eurasian Mathematical Journal
1 Analysis and Mathematical Physics
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki

Citations by Year