×
Author ID: perez-moreno.carlos Recent zbMATH articles by "Pérez, Carlos"
Published as: Pérez, Carlos; Pérez, C.; Perez, Carlos; Perez, C.
Further Spellings: Pérez Moreno, Carlos
Homepage: http://www.bcamath.org/en/people/cperez
External Links: ORCID
all top 5

Serials

8 Journal of Functional Analysis
7 Indiana University Mathematics Journal
7 Transactions of the American Mathematical Society
5 IMRN. International Mathematics Research Notices
5 The Journal of Fourier Analysis and Applications
4 Advances in Mathematics
3 Bulletin of the London Mathematical Society
3 Mathematische Annalen
3 Proceedings of the American Mathematical Society
3 Revista de la Unión Matemática Argentina
3 The Journal of Geometric Analysis
3 Mathematical Research Letters
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Studia Mathematica
2 Journal of the London Mathematical Society. Second Series
2 Proceedings of the London Mathematical Society. Third Series
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Journal d’Analyse Mathématique
1 Annales de l’Institut Fourier
1 Collectanea Mathematica
1 Colloquium Mathematicum
1 Journal für die Reine und Angewandte Mathematik
1 Mathematica Scandinavica
1 Michigan Mathematical Journal
1 Tôhoku Mathematical Journal. Second Series
1 Publicacions Matemàtiques
1 Bollettino della Unione Matemàtica Italiana. Serie VII. A
1 Potential Analysis
1 The Journal of Analysis
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 European Mathematical Society Newsletter
1 Acta Mathematica Sinica. English Series
1 Electronic Research Announcements in Mathematical Sciences
1 Analysis & PDE
1 Science China. Mathematics
1 Proceedings of the American Mathematical Society. Series B
1 Operator Theory: Advances and Applications
1 Applied and Numerical Harmonic Analysis
1 Advanced Courses in Mathematics – CRM Barcelona

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 3,518 times in 1,691 Documents Cited by Year
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory. Zbl 1160.42009
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos; Torres, Rodolfo H.; Trujillo-González, Rodrigo
276
2009
The boundedness of classical operators on variable \(L^p\) spaces. Zbl 1100.42012
Cruz-Uribe, D.; Fiorenza, A.; Martell, J. M.; Pérez, C.
268
2006
Weights, extrapolation and the theory of Rubio de Francia. Zbl 1234.46003
Cruz-Uribe, David V.; Martell, José Maria; Pérez, Carlos
243
2011
Endpoint estimates for commutators of singular integral operators. Zbl 0831.42010
Pérez, Carlos
219
1995
Sharp weighted bounds involving \(A_\infty\). Zbl 1283.42032
Hytönen, Tuomas; Pérez, Carlos
168
2013
Sharp weighted estimates for multilinear commutators. Zbl 1012.42008
Pérez, C.; Trujillo-González, R.
134
2002
Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type. Zbl 1266.42045
Hytönen, Tuomas; Pérez, Carlos; Rela, Ezequiel
114
2012
Two weighted inequalities for potential and fractional type maximal operators. Zbl 0809.42007
Pérez, Carlos
95
1994
On sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator between weighted \(L^ p\)-spaces with different weights. Zbl 0829.42019
Pérez, C.
92
1995
Extrapolation from \(A_{\infty}\) weights and applications. Zbl 1052.42016
Cruz-Uribe, D.; Martell, J. M.; Pérez, C.
87
2004
Weighted estimates for commutators of linear operators. Zbl 0809.42006
Alvarez, Josefina; Bagby, Richard J.; Kurtz, Douglas S.; Pérez, Carlos
86
1993
Sharp weighted estimates for classical operators. Zbl 1236.42010
Cruz-Uribe, David; Martell, José María; Pérez, Carlos
82
2012
Sharp maximal function estimates for multilinear singular integrals. Zbl 1045.42011
Pérez, Carlos; Torres, Rodolfo H.
79
2003
Weighted norm inequalities for singular integral operators. Zbl 0797.42010
Pérez, C.
76
1994
Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals. Zbl 1098.42017
Curbera, Guillermo P.; García-Cuerva, José; Martell, José María; Pérez, Carlos
68
2006
Sharp weighted bounds for fractional integral operators. Zbl 1196.42014
Lacey, Michael T.; Moen, Kabe; Pérez, Carlos; Torres, Rodolfo H.
63
2010
End-point estimates for iterated commutators of multilinear singular integrals. Zbl 1321.42032
Pérez, Carlos; Pradolini, Gladis; Torres, Rodolfo H.; Trujillo-González, Rodrigo
62
2014
Sharp weighted endpoint estimates for commutators of singular integrals. Zbl 1010.42007
Pérez, Carlos; Pradolini, Gladis
59
2001
Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function. Zbl 0894.42006
Pérez, Carlos
57
1997
Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type. Zbl 0892.43005
Franchi, Bruno; Pérez, Carlos; Wheeden, Richard L.
56
1998
Sharp weighted estimates for dyadic shifts and the \(A_2\) conjecture. Zbl 1311.42037
Hytönen, Tuomas; Pérez, Carlos; Treil, Sergei; Volberg, Alexander
50
2014
\(A_p\) weights for nondoubling measures in \(\mathbb R^n\) and applications. Zbl 0998.42012
Orobitg, Joan; Pérez, Carlos
48
2002
Sharp weighted bounds for the q-variation of singular integrals. Zbl 1271.42021
Hytönen, Tuomas P.; Lacey, Michael T.; Pérez, Carlos
48
2013
Two weighted norm inequalities for Riesz potentials and uniform \(L^ p\)- weighted Sobolev inequalities. Zbl 0736.42015
Pérez, Carlos
44
1990
Uncertainty principle estimates for vector fields. Zbl 0982.42010
Pérez, Carlos; Wheeden, Richard L.
41
2001
\(A_1\) bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden. Zbl 1169.42006
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
41
2009
Two-weight, weak-type norm inequalities for fractional integrals, Calderón-Zygmund operators and commutators. Zbl 1033.42009
Cruz-Uribe, D.; Pérez, C.
40
2000
Estimates with \(A_ \infty\) weights for various singular integral operators. Zbl 0807.42013
Alvarez, J.; Pérez, C.
36
1994
Sharp \(A_{1}\) bounds for Calderón-Zygmund operators and the relationship with a problem of Muckenhoupt and Wheeden. Zbl 1237.42012
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
36
2008
Sharp \(L^ p\)-weighted Sobolev inequalities. Zbl 0820.42008
Pérez, Carlos
36
1995
Sharp bounds for general commutators on weighted Lebesgue spaces. Zbl 1244.42006
Chung, Daewon; Pereyra, M. Christina; Perez, Carlos
34
2012
Weighted weak-type inequalities and a conjecture of Sawyer. Zbl 1092.42008
Cruz-Uribe, D.; Martell, J. M.; Pérez, C.
34
2005
Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture. Zbl 1129.42007
Cruz-Uribe, D.; Martell, J. M.; Pérez, C.
33
2007
The \(L(\log L)^\epsilon\) endpoint estimate for maximal singular integral operators. Zbl 1323.42021
Hytönen, Tuomas; Pérez, Carlos
33
2015
Sharp two-weight, weak-type norm inequalities for singular integral operators. Zbl 0961.42013
Cruz-Uribe, D.; Pérez, C.
32
1999
Weighted norm inequalities for rough singular integral operators. Zbl 1431.42029
Li, Kangwei; Pérez, Carlos; Rivera-Ríos, Israel P.; Roncal, Luz
32
2019
Two weight extrapolation via the maximal operator. Zbl 0976.46018
Cruz-Uribe, D.; Pérez, C.
29
2000
On the two-weight problem for singular integral operators. Zbl 1072.42010
Cruz-Uribe, David; Pérez, Carlos
28
2002
Proof of an extension of E. Sawyer’s conjecture about weighted mixed weak-type estimates. Zbl 1416.42021
Li, Kangwei; Ombrosi, Sheldy; Pérez, Carlos
26
2019
Generalized Poincaré inequalities: Sharp self-improving properties. Zbl 0903.46029
MacManus, Paul; Pérez, Carlos
25
1998
Sharp weighted bounds for multilinear maximal functions and Calderón-Zygmund operators. Zbl 1321.42036
Damián, Wendolín; Lerner, Andrei K.; Pérez, Carlos
24
2015
The multilinear strong maximal function. Zbl 1219.42008
Grafakos, Loukas; Liu, Liguang; Pérez, Carlos; Torres, Rodolfo H.
22
2011
Lack of natural weighted estimates for some singular integral operators. Zbl 1072.42014
Martell, José María; Pérez, Carlos; Trujillo-González, Rodrigo
21
2005
Sharp weighted estimates for vector-valued singular integral operators and commutators. Zbl 1053.42021
Pérez, Carlos; Trujillo-González, Rodrigo
18
2003
Potential operators, maximal functions, and generalizations of \(A_{\infty}\). Zbl 1027.42015
Pérez, Carlos; Wheeden, Richard L.
16
2003
Maximal functions and the control of weighted inequalities for the fractional integral operator. Zbl 1078.42010
Carro, María J.; Pérez, Carlos; Soria, Fernando; Soria, Javier
16
2005
Optimal exponents in weighted estimates without examples. Zbl 1315.42012
Luque, Teresa; Pérez, Carlos; Rela, Ezequiel
16
2015
The positive cone in Triebel-Lizorkin spaces and the relation among potential and maximal operators. Zbl 0707.46021
Jawerth, B.; Perez, C.; Welland, G.
16
1990
A new characterization of the Muckenhoupt \(A_p\) weights through an extension of the Lorentz-Shimogaki Theorem. Zbl 1214.42021
Lerner, Andrei K.; Pérez, Carlos
15
2007
Weak type estimates for singular integrals related to a dual problem of Muckenhoupt-Wheeden. Zbl 1175.42005
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
15
2009
Sharp weighted estimates for approximating dyadic operators. Zbl 1188.42005
Cruz-Uribe, David; Martell, José María; Pérez, Carlos
15
2010
Vector-valued operators, optimal weighted estimates and the \(C_p\) condition. Zbl 1450.42011
Cejas, María Eugenia; Li, Kangwei; Pérez, Carlos; Rivera-Ríos, Israel Pablo
13
2020
A sum operator with applications to self-improving properties of Poincaré inequalities in metric spaces. Zbl 1074.46022
Franchi, Bruno; Pérez, Carlos; Wheeden, Richard L.
13
2003
Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators. Zbl 1338.42018
Pérez, Carlos; Torres, Rodolfo H.
13
2014
Self-improving properties of generalized Poincaré type inequalities through rearrangements. Zbl 1101.42010
Lerner, Andrei K.; Pérez, Carlos
13
2005
Degenerate Poincaré-Sobolev inequalities. Zbl 1426.42015
Pérez, Carlos; Rela, Ezequiel
12
2019
Mixed weak type estimates: examples and counterexamples related to a problem of E. Sawyer. Zbl 1352.42026
Ombrosi, Sheldy; Pérez, Carlos
12
2016
Quantitative weighted mixed weak-type inequalities for classical operators. Zbl 1368.42019
Ombrosi, Sheldy; Pérez, Carlos; Recchi, Jorgelina
12
2016
Regularity of maximal functions on Hardy-Sobolev spaces. Zbl 1405.42039
Pérez, Carlos; Picon, Tiago; Saari, Olli; Sousa, Mateus
12
2018
Weighted norm inequalities for general maximal operators. Zbl 0722.42011
Pérez, C.
12
1991
Extensions of Rubio de Francia extrapolation theorem. Zbl 1213.42038
Cruz-Uriba, David; Martell, José María; Pérez, Carlos
11
2006
Trudinger inequalities without derivatives. Zbl 1032.46050
MacManus, Paul; Pérez, Carlos
11
2002
A new quantitative two weight theorem for the Hardy-Littlewood maximal operator. Zbl 1318.42024
Pérez, Carlos; Rela, Ezequiel
11
2015
Exponential decay estimates for singular integral operators. Zbl 1297.42025
Ortiz-Caraballo, Carmen; Pérez, Carlos; Rela, Ezequiel
11
2013
Sharp weighted inequalities for the vector-valued maximal function. Zbl 0944.42012
Pérez, Carlos
9
2000
Reverse Hölder property for strong weights and general measures. Zbl 1362.42047
Luque, Teresa; Pérez, Carlos; Rela, Ezequiel
9
2017
A remark on weighted inequalities for general maximal operators. Zbl 0810.42008
Pérez, C.
8
1993
Borderline weighted estimates for commutators of singular integrals. Zbl 1362.42035
Pérez, Carlos; Rivera-Ríos, Israel P.
8
2017
Improving bounds for singular operators via sharp reverse Hölder inequality for \(A_\infty\). Zbl 1261.42001
Ortiz-Caraballo, Carmen; Pérez, Carlos
7
2013
Extensions of the John-Nirenberg theorem and applications. Zbl 1462.30111
Canto, Javier; Pérez, Carlos
7
2021
New estimates for the maximal singular integral. Zbl 1208.42005
Mateu, Joan; Orobitg, Joan; Pérez, Carlos; Verdera, Joan
6
2010
Three observations on commutators of singular integral operators with BMO functions. Zbl 1387.42023
Pérez, Carlos; Rivera-Ríos, Israel P.
5
2017
The Hardy-Littlewood maximal type operators between Banach function spaces. Zbl 1273.42020
Mastyło, Mieczysław; Pérez, Carlos
5
2012
Sharp quantitative weighted BMO estimates and a new proof of the Harboure-Macías-Segovia’s extrapolation theorem. Zbl 1442.42045
Criado, Alberto; Pérez, Carlos; Rivera-Ríos, Israel P.
5
2019
A note on the off-diagonal Muckenhoupt-Wheeden conjecture. Zbl 1352.42016
Cruz-Uribe, David; Martell, José María; Pérez, Carlos
4
2016
Generalized Hörmander conditions and weighted endpoint estimates. Zbl 1179.42013
Lorente, María; Martell, José María; Pérez, Carlos; Riveros, María Silvina
4
2009
A pointwise estimate for the kernel of a pseudo-differential operator, with applications. Zbl 0798.35171
Alvarez, J.; Hounie, J.; Perez, C.
3
1991
\(L^1\rightarrow L^q\) Poincaré inequalities for \(0<q<1\) imply representation formulas. Zbl 1012.46037
Lu, Guo Zhen; Pérez, Carlos
3
2002
Sharp geometric Poincaré inequalities for vector fields and non-doubling measures. Zbl 1027.46031
Franchi, Bruno; Pérez, Carlos; Wheeden, Richard L.
3
2000
Self-improving Poincaré-Sobolev type functionals in product spaces. Zbl 1527.46025
Cejas, María Eugenia; Mosquera, Carolina; Pérez, Carlos; Rela, Ezequiel
3
2023
Sawyer-type inequalities for Lorentz spaces. Zbl 1504.42067
Pérez, Carlos; Roure-Perdices, Eduard
3
2022
Singular integrals and weights. Zbl 1330.42010
Pérez, Carlos
3
2015
Harmonic and geometric analysis. Lecture notes of some of the courses, Barcelona, Spain, February–July 2009. Edited by Joan Mateu. Zbl 1318.42001
Citti, Giovanna; Grafakos, Loukas; Pérez, Carlos; Sarti, Alessandro; Zhong, Xiao
2
2015
On a theorem of Muckenhoupt and Wheeden and a weighted inequality related to Schrödinger operators. Zbl 0789.42014
Pérez, C.
2
1993
\(A_1\) theory of weights for rough homogeneous singular integrals and commutators. Zbl 1411.74037
Pérez, Carlos; Rivera-Ríos, Israel P.; Roncal, Luz
2
2019
A note on generalized Fujii-Wilson conditions and BMO spaces. Zbl 1454.46032
Ombrosi, Sheldy; Pérez, Carlos; Rela, Ezequiel; Rivera-Ríos, Israel P.
2
2020
Banach function spaces and the two-weight problem for maximal functions. Zbl 0939.42013
Pérez, Carlos
1
1996
Weighted Lorentz spaces: sharp mixed \(A_p - A_\infty\) estimate for maximal functions. Zbl 1504.42057
Accomazzo, Natalia; Duoandikoetxea, Javier; Nieraeth, Zoe; Ombrosi, Sheldy; Pérez, Carlos
1
2023
Minimal conditions for BMO. Zbl 1481.42022
Canto, Javier; Pérez, Carlos; Rela, Ezequiel
1
2022
BCAM, the Basque Center for Applied Mathematics. Zbl 1401.01038
Bru, Jean-Bernard; Pérez, Carlos
1
2018
The growth of the \(A_p\) constant on classical estimates. Zbl 1210.42027
Pérez, Carlos
1
2009
Remarks on vector-valued Gagliardo and Poincaré-Sobolev-type inequalities with weights. Zbl 1526.42032
Perales, Javier Martínez; Pérez, Carlos
1
2023
On the BBM-phenomenon in fractional Poincaré-Sobolev inequalities with weights. Zbl 07794944
Hurri-Syrjänen, Ritva; Martínez-Perales, Javier C.; Pérez, Carlos; Vähäkangas, Antti V.
1
2023
Self-improving Poincaré-Sobolev type functionals in product spaces. Zbl 1527.46025
Cejas, María Eugenia; Mosquera, Carolina; Pérez, Carlos; Rela, Ezequiel
3
2023
Weighted Lorentz spaces: sharp mixed \(A_p - A_\infty\) estimate for maximal functions. Zbl 1504.42057
Accomazzo, Natalia; Duoandikoetxea, Javier; Nieraeth, Zoe; Ombrosi, Sheldy; Pérez, Carlos
1
2023
Remarks on vector-valued Gagliardo and Poincaré-Sobolev-type inequalities with weights. Zbl 1526.42032
Perales, Javier Martínez; Pérez, Carlos
1
2023
On the BBM-phenomenon in fractional Poincaré-Sobolev inequalities with weights. Zbl 07794944
Hurri-Syrjänen, Ritva; Martínez-Perales, Javier C.; Pérez, Carlos; Vähäkangas, Antti V.
1
2023
Sawyer-type inequalities for Lorentz spaces. Zbl 1504.42067
Pérez, Carlos; Roure-Perdices, Eduard
3
2022
Minimal conditions for BMO. Zbl 1481.42022
Canto, Javier; Pérez, Carlos; Rela, Ezequiel
1
2022
Extensions of the John-Nirenberg theorem and applications. Zbl 1462.30111
Canto, Javier; Pérez, Carlos
7
2021
Vector-valued operators, optimal weighted estimates and the \(C_p\) condition. Zbl 1450.42011
Cejas, María Eugenia; Li, Kangwei; Pérez, Carlos; Rivera-Ríos, Israel Pablo
13
2020
A note on generalized Fujii-Wilson conditions and BMO spaces. Zbl 1454.46032
Ombrosi, Sheldy; Pérez, Carlos; Rela, Ezequiel; Rivera-Ríos, Israel P.
2
2020
Weighted norm inequalities for rough singular integral operators. Zbl 1431.42029
Li, Kangwei; Pérez, Carlos; Rivera-Ríos, Israel P.; Roncal, Luz
32
2019
Proof of an extension of E. Sawyer’s conjecture about weighted mixed weak-type estimates. Zbl 1416.42021
Li, Kangwei; Ombrosi, Sheldy; Pérez, Carlos
26
2019
Degenerate Poincaré-Sobolev inequalities. Zbl 1426.42015
Pérez, Carlos; Rela, Ezequiel
12
2019
Sharp quantitative weighted BMO estimates and a new proof of the Harboure-Macías-Segovia’s extrapolation theorem. Zbl 1442.42045
Criado, Alberto; Pérez, Carlos; Rivera-Ríos, Israel P.
5
2019
\(A_1\) theory of weights for rough homogeneous singular integrals and commutators. Zbl 1411.74037
Pérez, Carlos; Rivera-Ríos, Israel P.; Roncal, Luz
2
2019
Regularity of maximal functions on Hardy-Sobolev spaces. Zbl 1405.42039
Pérez, Carlos; Picon, Tiago; Saari, Olli; Sousa, Mateus
12
2018
BCAM, the Basque Center for Applied Mathematics. Zbl 1401.01038
Bru, Jean-Bernard; Pérez, Carlos
1
2018
Reverse Hölder property for strong weights and general measures. Zbl 1362.42047
Luque, Teresa; Pérez, Carlos; Rela, Ezequiel
9
2017
Borderline weighted estimates for commutators of singular integrals. Zbl 1362.42035
Pérez, Carlos; Rivera-Ríos, Israel P.
8
2017
Three observations on commutators of singular integral operators with BMO functions. Zbl 1387.42023
Pérez, Carlos; Rivera-Ríos, Israel P.
5
2017
Mixed weak type estimates: examples and counterexamples related to a problem of E. Sawyer. Zbl 1352.42026
Ombrosi, Sheldy; Pérez, Carlos
12
2016
Quantitative weighted mixed weak-type inequalities for classical operators. Zbl 1368.42019
Ombrosi, Sheldy; Pérez, Carlos; Recchi, Jorgelina
12
2016
A note on the off-diagonal Muckenhoupt-Wheeden conjecture. Zbl 1352.42016
Cruz-Uribe, David; Martell, José María; Pérez, Carlos
4
2016
The \(L(\log L)^\epsilon\) endpoint estimate for maximal singular integral operators. Zbl 1323.42021
Hytönen, Tuomas; Pérez, Carlos
33
2015
Sharp weighted bounds for multilinear maximal functions and Calderón-Zygmund operators. Zbl 1321.42036
Damián, Wendolín; Lerner, Andrei K.; Pérez, Carlos
24
2015
Optimal exponents in weighted estimates without examples. Zbl 1315.42012
Luque, Teresa; Pérez, Carlos; Rela, Ezequiel
16
2015
A new quantitative two weight theorem for the Hardy-Littlewood maximal operator. Zbl 1318.42024
Pérez, Carlos; Rela, Ezequiel
11
2015
Singular integrals and weights. Zbl 1330.42010
Pérez, Carlos
3
2015
Harmonic and geometric analysis. Lecture notes of some of the courses, Barcelona, Spain, February–July 2009. Edited by Joan Mateu. Zbl 1318.42001
Citti, Giovanna; Grafakos, Loukas; Pérez, Carlos; Sarti, Alessandro; Zhong, Xiao
2
2015
End-point estimates for iterated commutators of multilinear singular integrals. Zbl 1321.42032
Pérez, Carlos; Pradolini, Gladis; Torres, Rodolfo H.; Trujillo-González, Rodrigo
62
2014
Sharp weighted estimates for dyadic shifts and the \(A_2\) conjecture. Zbl 1311.42037
Hytönen, Tuomas; Pérez, Carlos; Treil, Sergei; Volberg, Alexander
50
2014
Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators. Zbl 1338.42018
Pérez, Carlos; Torres, Rodolfo H.
13
2014
Sharp weighted bounds involving \(A_\infty\). Zbl 1283.42032
Hytönen, Tuomas; Pérez, Carlos
168
2013
Sharp weighted bounds for the q-variation of singular integrals. Zbl 1271.42021
Hytönen, Tuomas P.; Lacey, Michael T.; Pérez, Carlos
48
2013
Exponential decay estimates for singular integral operators. Zbl 1297.42025
Ortiz-Caraballo, Carmen; Pérez, Carlos; Rela, Ezequiel
11
2013
Improving bounds for singular operators via sharp reverse Hölder inequality for \(A_\infty\). Zbl 1261.42001
Ortiz-Caraballo, Carmen; Pérez, Carlos
7
2013
Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type. Zbl 1266.42045
Hytönen, Tuomas; Pérez, Carlos; Rela, Ezequiel
114
2012
Sharp weighted estimates for classical operators. Zbl 1236.42010
Cruz-Uribe, David; Martell, José María; Pérez, Carlos
82
2012
Sharp bounds for general commutators on weighted Lebesgue spaces. Zbl 1244.42006
Chung, Daewon; Pereyra, M. Christina; Perez, Carlos
34
2012
The Hardy-Littlewood maximal type operators between Banach function spaces. Zbl 1273.42020
Mastyło, Mieczysław; Pérez, Carlos
5
2012
Weights, extrapolation and the theory of Rubio de Francia. Zbl 1234.46003
Cruz-Uribe, David V.; Martell, José Maria; Pérez, Carlos
243
2011
The multilinear strong maximal function. Zbl 1219.42008
Grafakos, Loukas; Liu, Liguang; Pérez, Carlos; Torres, Rodolfo H.
22
2011
Sharp weighted bounds for fractional integral operators. Zbl 1196.42014
Lacey, Michael T.; Moen, Kabe; Pérez, Carlos; Torres, Rodolfo H.
63
2010
Sharp weighted estimates for approximating dyadic operators. Zbl 1188.42005
Cruz-Uribe, David; Martell, José María; Pérez, Carlos
15
2010
New estimates for the maximal singular integral. Zbl 1208.42005
Mateu, Joan; Orobitg, Joan; Pérez, Carlos; Verdera, Joan
6
2010
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory. Zbl 1160.42009
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos; Torres, Rodolfo H.; Trujillo-González, Rodrigo
276
2009
\(A_1\) bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden. Zbl 1169.42006
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
41
2009
Weak type estimates for singular integrals related to a dual problem of Muckenhoupt-Wheeden. Zbl 1175.42005
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
15
2009
Generalized Hörmander conditions and weighted endpoint estimates. Zbl 1179.42013
Lorente, María; Martell, José María; Pérez, Carlos; Riveros, María Silvina
4
2009
The growth of the \(A_p\) constant on classical estimates. Zbl 1210.42027
Pérez, Carlos
1
2009
Sharp \(A_{1}\) bounds for Calderón-Zygmund operators and the relationship with a problem of Muckenhoupt and Wheeden. Zbl 1237.42012
Lerner, Andrei K.; Ombrosi, Sheldy; Pérez, Carlos
36
2008
Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture. Zbl 1129.42007
Cruz-Uribe, D.; Martell, J. M.; Pérez, C.
33
2007
A new characterization of the Muckenhoupt \(A_p\) weights through an extension of the Lorentz-Shimogaki Theorem. Zbl 1214.42021
Lerner, Andrei K.; Pérez, Carlos
15
2007
The boundedness of classical operators on variable \(L^p\) spaces. Zbl 1100.42012
Cruz-Uribe, D.; Fiorenza, A.; Martell, J. M.; Pérez, C.
268
2006
Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals. Zbl 1098.42017
Curbera, Guillermo P.; García-Cuerva, José; Martell, José María; Pérez, Carlos
68
2006
Extensions of Rubio de Francia extrapolation theorem. Zbl 1213.42038
Cruz-Uriba, David; Martell, José María; Pérez, Carlos
11
2006
Weighted weak-type inequalities and a conjecture of Sawyer. Zbl 1092.42008
Cruz-Uribe, D.; Martell, J. M.; Pérez, C.
34
2005
Lack of natural weighted estimates for some singular integral operators. Zbl 1072.42014
Martell, José María; Pérez, Carlos; Trujillo-González, Rodrigo
21
2005
Maximal functions and the control of weighted inequalities for the fractional integral operator. Zbl 1078.42010
Carro, María J.; Pérez, Carlos; Soria, Fernando; Soria, Javier
16
2005
Self-improving properties of generalized Poincaré type inequalities through rearrangements. Zbl 1101.42010
Lerner, Andrei K.; Pérez, Carlos
13
2005
Extrapolation from \(A_{\infty}\) weights and applications. Zbl 1052.42016
Cruz-Uribe, D.; Martell, J. M.; Pérez, C.
87
2004
Sharp maximal function estimates for multilinear singular integrals. Zbl 1045.42011
Pérez, Carlos; Torres, Rodolfo H.
79
2003
Sharp weighted estimates for vector-valued singular integral operators and commutators. Zbl 1053.42021
Pérez, Carlos; Trujillo-González, Rodrigo
18
2003
Potential operators, maximal functions, and generalizations of \(A_{\infty}\). Zbl 1027.42015
Pérez, Carlos; Wheeden, Richard L.
16
2003
A sum operator with applications to self-improving properties of Poincaré inequalities in metric spaces. Zbl 1074.46022
Franchi, Bruno; Pérez, Carlos; Wheeden, Richard L.
13
2003
Sharp weighted estimates for multilinear commutators. Zbl 1012.42008
Pérez, C.; Trujillo-González, R.
134
2002
\(A_p\) weights for nondoubling measures in \(\mathbb R^n\) and applications. Zbl 0998.42012
Orobitg, Joan; Pérez, Carlos
48
2002
On the two-weight problem for singular integral operators. Zbl 1072.42010
Cruz-Uribe, David; Pérez, Carlos
28
2002
Trudinger inequalities without derivatives. Zbl 1032.46050
MacManus, Paul; Pérez, Carlos
11
2002
\(L^1\rightarrow L^q\) Poincaré inequalities for \(0<q<1\) imply representation formulas. Zbl 1012.46037
Lu, Guo Zhen; Pérez, Carlos
3
2002
Sharp weighted endpoint estimates for commutators of singular integrals. Zbl 1010.42007
Pérez, Carlos; Pradolini, Gladis
59
2001
Uncertainty principle estimates for vector fields. Zbl 0982.42010
Pérez, Carlos; Wheeden, Richard L.
41
2001
Two-weight, weak-type norm inequalities for fractional integrals, Calderón-Zygmund operators and commutators. Zbl 1033.42009
Cruz-Uribe, D.; Pérez, C.
40
2000
Two weight extrapolation via the maximal operator. Zbl 0976.46018
Cruz-Uribe, D.; Pérez, C.
29
2000
Sharp weighted inequalities for the vector-valued maximal function. Zbl 0944.42012
Pérez, Carlos
9
2000
Sharp geometric Poincaré inequalities for vector fields and non-doubling measures. Zbl 1027.46031
Franchi, Bruno; Pérez, Carlos; Wheeden, Richard L.
3
2000
Sharp two-weight, weak-type norm inequalities for singular integral operators. Zbl 0961.42013
Cruz-Uribe, D.; Pérez, C.
32
1999
Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type. Zbl 0892.43005
Franchi, Bruno; Pérez, Carlos; Wheeden, Richard L.
56
1998
Generalized Poincaré inequalities: Sharp self-improving properties. Zbl 0903.46029
MacManus, Paul; Pérez, Carlos
25
1998
Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function. Zbl 0894.42006
Pérez, Carlos
57
1997
Banach function spaces and the two-weight problem for maximal functions. Zbl 0939.42013
Pérez, Carlos
1
1996
Endpoint estimates for commutators of singular integral operators. Zbl 0831.42010
Pérez, Carlos
219
1995
On sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator between weighted \(L^ p\)-spaces with different weights. Zbl 0829.42019
Pérez, C.
92
1995
Sharp \(L^ p\)-weighted Sobolev inequalities. Zbl 0820.42008
Pérez, Carlos
36
1995
Two weighted inequalities for potential and fractional type maximal operators. Zbl 0809.42007
Pérez, Carlos
95
1994
Weighted norm inequalities for singular integral operators. Zbl 0797.42010
Pérez, C.
76
1994
Estimates with \(A_ \infty\) weights for various singular integral operators. Zbl 0807.42013
Alvarez, J.; Pérez, C.
36
1994
Weighted estimates for commutators of linear operators. Zbl 0809.42006
Alvarez, Josefina; Bagby, Richard J.; Kurtz, Douglas S.; Pérez, Carlos
86
1993
A remark on weighted inequalities for general maximal operators. Zbl 0810.42008
Pérez, C.
8
1993
On a theorem of Muckenhoupt and Wheeden and a weighted inequality related to Schrödinger operators. Zbl 0789.42014
Pérez, C.
2
1993
Weighted norm inequalities for general maximal operators. Zbl 0722.42011
Pérez, C.
12
1991
A pointwise estimate for the kernel of a pseudo-differential operator, with applications. Zbl 0798.35171
Alvarez, J.; Hounie, J.; Perez, C.
3
1991
Two weighted norm inequalities for Riesz potentials and uniform \(L^ p\)- weighted Sobolev inequalities. Zbl 0736.42015
Pérez, Carlos
44
1990
The positive cone in Triebel-Lizorkin spaces and the relation among potential and maximal operators. Zbl 0707.46021
Jawerth, B.; Perez, C.; Welland, G.
16
1990
all top 5

Cited by 1,133 Authors

57 Yang, Dachun
53 Xue, Qingying
42 Hu, Guoen
42 Pérez, Carlos
36 Meskhi, Alexander
36 Sawano, Yoshihiro
35 Cruz-Uribe, David Vincente
32 Ho, Kwok-Pun
32 Li, Kangwei
30 Martell, José María (Chema)
29 Kokilashvili, Vakhtang
25 Moen, Kabe
25 Wu, Huoxiong
24 Lerner, Andrei K.
24 Pradolini, Gladis G.
24 Rivera-Ríos, Israel P.
24 Xu, Jingshi
23 Lu, Shanzhen
22 Guliyev, Vagif Sabir
22 Yuan, Wen
22 Zhang, Pu
21 Chen, Yanping
21 Liu, Feng
21 Osękowski, Adam
21 Yabuta, Kôzô
20 Ding, Yong
20 Hytönen, Tuomas P.
20 Liu, Lanzhe
19 Ombrosi, Sheldy Javier
18 Carro, María Jesús
18 Zhou, Jiang
17 Nakai, Eiichi
16 Lacey, Michael T.
16 Si, Zengyan
15 Samko, Stefan Grigor’evich
15 Torres, Rodolfo H.
14 Duong, Dao Van
14 Rela, Ezequiel
13 Chen, Dazhao
13 Lin, Yan
13 Martín-Reyes, Francisco Javier
13 Salinas, Oscar
13 Tan, Jian
13 Tanaka, Hitoshi
12 Fu, Zunwei
12 Grafakos, Loukas
12 Li, Wenming
12 Wang, Dinghuai
12 Wen, Yongming
12 Yan, Dunyan
11 Izuki, Mitsuo
11 Noi, Takahiro
11 Sun, Wenchang
11 Tao, Shuangping
11 Volberg, Alexander Lvovich
11 Wang, Hua
11 Wang, Liwei
11 Wang, Songbai
11 Wick, Brett Duane
11 Zhang, Yangyang
11 Zhao, Jiman
10 Cao, Mingming
10 Drihem, Douadi
10 Jiao, Yong
10 Li, Ji
10 Lorente, María
10 Martikainen, Henri
10 Sawyer, Eric T.
10 Shrivastava, Saurabh
10 Tao, Xiangxing
10 Wang, Hongbin
10 Yu, Xiao
9 di Plinio, Francesco
9 Diening, Lars
9 Dung, Kieu Huu
9 Fiorenza, Alberto
9 Nguyen Minh Chuong
9 Rafeiro, Humberto
9 Riveros, María Silvina
9 Shimomura, Tetsu
9 Shu, Lisheng
9 Soria, Javier
9 Tang, Lin
9 Vuorinen, Emil
9 Wu, Jianglong
9 Zhuo, Ciqiang
8 Bernicot, Frédéric
8 Berra, Fabio
8 Chen, Jiecheng
8 Harboure, Eleonor
8 Iida, Takeshi
8 Lorist, Emiel
8 Mastyło, Mieczysław
8 Meng, Yan
8 Naibo, Virginia
8 Roncal, Luz
8 Sehba, Benoit Florent
8 Weisz, Ferenc
8 Zhu, Yueping
7 Anderson, Theresa C.
...and 1,033 more Authors
all top 5

Cited in 235 Serials

99 Journal of Mathematical Analysis and Applications
69 The Journal of Geometric Analysis
67 Journal of Inequalities and Applications
54 Journal of Functional Analysis
48 Transactions of the American Mathematical Society
42 The Journal of Fourier Analysis and Applications
42 Acta Mathematica Sinica. English Series
38 Proceedings of the American Mathematical Society
36 Journal of Function Spaces
33 Potential Analysis
33 Mathematical Inequalities & Applications
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
27 Advances in Mathematics
26 Mathematische Nachrichten
23 Analysis in Theory and Applications
22 Mathematische Annalen
21 Banach Journal of Mathematical Analysis
19 Czechoslovak Mathematical Journal
19 Mathematische Zeitschrift
19 Revista Matemática Iberoamericana
19 Journal of Pseudo-Differential Operators and Applications
17 Journal d’Analyse Mathématique
17 Studia Mathematica
16 Revista Matemática Complutense
16 Frontiers of Mathematics in China
16 Science China. Mathematics
15 Forum Mathematicum
15 Journal of Mathematical Inequalities
15 Open Mathematics
14 Collectanea Mathematica
14 Results in Mathematics
14 Analysis and Mathematical Physics
13 Integral Equations and Operator Theory
13 Georgian Mathematical Journal
13 Positivity
13 Transactions of A. Razmadze Mathematical Institute
12 Archiv der Mathematik
12 Calculus of Variations and Partial Differential Equations
11 Analysis Mathematica
11 Bulletin of the Korean Mathematical Society
11 Chinese Annals of Mathematics. Series B
11 Applied Mathematics. Series B (English Edition)
11 Acta Mathematica Scientia. Series B. (English Edition)
11 Annals of Functional Analysis
10 Israel Journal of Mathematics
10 Annales Academiae Scientiarum Fennicae. Mathematica
10 Abstract and Applied Analysis
10 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
9 Journal of the Mathematical Society of Japan
9 Revista de la Unión Matemática Argentina
9 Bulletin des Sciences Mathématiques
9 Integral Transforms and Special Functions
9 Mediterranean Journal of Mathematics
8 Indiana University Mathematics Journal
8 Journal of Differential Equations
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Tôhoku Mathematical Journal. Second Series
8 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Journal of Function Spaces and Applications
7 Mathematical Notes
7 Rocky Mountain Journal of Mathematics
7 Acta Mathematica Hungarica
7 Publicacions Matemàtiques
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Journal of Mathematical Sciences (New York)
7 St. Petersburg Mathematical Journal
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Monatshefte für Mathematik
6 Zeitschrift für Analysis und ihre Anwendungen
6 Science in China. Series A
6 Taiwanese Journal of Mathematics
6 Journal of Evolution Equations
6 Journal of the Australian Mathematical Society
6 Advances in Operator Theory
5 Applicable Analysis
5 Ukrainian Mathematical Journal
5 Journal of the Korean Mathematical Society
5 Michigan Mathematical Journal
5 Tokyo Journal of Mathematics
5 Constructive Approximation
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Fractional Calculus & Applied Analysis
5 Communications in Contemporary Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Communications on Pure and Applied Analysis
5 Analysis & PDE
5 Journal of Nonlinear Science and Applications
5 Kyoto Journal of Mathematics
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Concrete Operators
4 Mathematical Methods in the Applied Sciences
4 Annales de l’Institut Fourier
4 Bulletin of the London Mathematical Society
4 Illinois Journal of Mathematics
4 Manuscripta Mathematica
4 Mathematika
4 Pacific Journal of Mathematics
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
...and 135 more Serials
all top 5

Cited in 40 Fields

1,437 Harmonic analysis on Euclidean spaces (42-XX)
564 Functional analysis (46-XX)
352 Operator theory (47-XX)
202 Real functions (26-XX)
197 Partial differential equations (35-XX)
67 Abstract harmonic analysis (43-XX)
53 Functions of a complex variable (30-XX)
39 Probability theory and stochastic processes (60-XX)
31 Potential theory (31-XX)
25 Integral transforms, operational calculus (44-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Fluid mechanics (76-XX)
15 Approximations and expansions (41-XX)
13 Topological groups, Lie groups (22-XX)
13 Measure and integration (28-XX)
12 Integral equations (45-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
7 Combinatorics (05-XX)
7 Several complex variables and analytic spaces (32-XX)
5 Special functions (33-XX)
4 Number theory (11-XX)
4 Ordinary differential equations (34-XX)
4 Difference and functional equations (39-XX)
4 Sequences, series, summability (40-XX)
4 Numerical analysis (65-XX)
3 Differential geometry (53-XX)
3 Information and communication theory, circuits (94-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Mechanics of deformable solids (74-XX)
1 General and overarching topics; collections (00-XX)
1 Nonassociative rings and algebras (17-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year