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- Carlos Pérez

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
38
Citations
6,629
108
World Ranking
1563
National Ranking
26

- Mathematical analysis
- Algebra
- Pure mathematics

His primary scientific interests are in Maximal function, Pure mathematics, Mathematical analysis, Lp space and Discrete mathematics. His Maximal function research incorporates elements of Muckenhoupt weights and Multilinear map. He interconnects Banach space, Combinatorics and Maximal operator in the investigation of issues within Multilinear map.

His Pure mathematics study frequently draws parallels with other fields, such as Norm. His work in Norm addresses issues such as Schatten norm, which are connected to fields such as Singular integral operators of convolution type. Carlos Pérez has included themes like Type and Applied mathematics in his Mathematical analysis study.

- Endpoint Estimates for Commutators of Singular Integral Operators (332 citations)
- New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory (326 citations)
- The boundedness of classical operators on variable L-p spaces (312 citations)

Carlos Pérez mostly deals with Pure mathematics, Maximal function, Combinatorics, Norm and Mathematical analysis. His Pure mathematics research includes themes of Pointwise, Type and Maximal operator. His Maximal function study incorporates themes from Discrete mathematics, Muckenhoupt weights, Multilinear map and Constant.

His work on Conjecture as part of general Combinatorics study is frequently linked to Lambda, therefore connecting diverse disciplines of science. As a member of one scientific family, Carlos Pérez mostly works in the field of Norm, focusing on Extrapolation and, on occasion, Function space. His work on Inequality, Singular solution and Poincaré inequality as part of general Mathematical analysis research is frequently linked to Commutator, bridging the gap between disciplines.

- Pure mathematics (44.62%)
- Maximal function (35.38%)
- Combinatorics (31.54%)

- Pure mathematics (44.62%)
- Type (16.92%)
- Combinatorics (31.54%)

His primary areas of investigation include Pure mathematics, Type, Combinatorics, Norm and Discrete mathematics. His work in the fields of Pure mathematics, such as Poincaré conjecture, overlaps with other areas such as Self improvement. His Type research overlaps with other disciplines such as Context and Homogeneous.

In general Combinatorics, his work in Maximal function is often linked to Exponent linking many areas of study. The Maximal function study combines topics in areas such as Nirenberg and Matthaei experiment and Polynomial. His Extrapolation research is multidisciplinary, relying on both Differential geometry and Singular integral operators.

- Weighted Norm Inequalities for Rough Singular Integral Operators (27 citations)
- Regularity of maximal functions on Hardy–Sobolev spaces (15 citations)
- Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates (14 citations)

- Mathematical analysis
- Algebra
- Geometry

Carlos Pérez mainly focuses on Norm, Discrete mathematics, Maximal function, Combinatorics and Weak type. His Norm research includes elements of Differential geometry, Extrapolation and Singular integral operators. His study in Maximal function is interdisciplinary in nature, drawing from both Convolution, Type, Bounded function and Sobolev space.

The various areas that Carlos Pérez examines in his Combinatorics study include Operator, Singular case, Constant and Extension. His Weak type study frequently draws connections to other fields, such as Conjecture.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Endpoint Estimates for Commutators of Singular Integral Operators

C. Perez.

Journal of Functional Analysis **(1995)**

520 Citations

The boundedness of classical operators on variable L-p spaces

D. Cruz-Uribe;A. Fiorenza;J.M. Martell;C. Pérez.

Annales Academiae Scientiarum Fennicae. Mathematica **(2006)**

510 Citations

New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory

Andrei K. Lerner;Sheldy Ombrosi;Carlos Pérez;Rodolfo H. Torres.

Advances in Mathematics **(2009)**

422 Citations

Weights, Extrapolation and the Theory of Rubio de Francia

David V. Cruz-Uribe;José Maria Martell;Carlos Pérez.

**(2011)**

402 Citations

Sharp weighted bounds involving A

Tuomas Hytönen;Carlos Pérez.

Analysis & PDE **(2013)**

346 Citations

SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS

C. Pérez;R. Trujillo-González.

Journal of The London Mathematical Society-second Series **(2002)**

333 Citations

On Sufficient Conditions for the Boundedness of the Hardy–Littlewood Maximal Operator between Weighted Lp-Spaces with Different Weights

Carlos Perez.

Proceedings of The London Mathematical Society **(1995)**

244 Citations

Weighted Norm Inequalities for Singular Integral Operators

C. Pérez.

Journal of The London Mathematical Society-second Series **(1994)**

240 Citations

Weighted estimates for commutators of linear operators

Josefina Alvarez;Richard J. Bagby;Douglas S. Kurtz;Carlos Pérez.

Studia Mathematica **(1993)**

237 Citations

Sharp Reverse Hölder property for A∞ weights on spaces of homogeneous type

Tuomas Hytönen;Carlos Pérez;Ezequiel Rela.

Journal of Functional Analysis **(2012)**

227 Citations

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