2026 Carlos Pérez: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	47	1286	1099	19	19	115	8007

Overview

Carlos Pérez is affiliated with the University of the Basque Country in Spain and works primarily in the field of Mathematics. Their research spans multiple subfields, including Applied Mathematics, Mathematical Physics, Finance, Computational Theory and Mathematics, and Mechanics of Materials.

The main topics in their work focus on areas such as Advanced Harmonic Analysis Research, Nonlinear Partial Differential Equations, Advanced Mathematical Physics Problems, Fatigue and fracture mechanics, Advanced Mathematical Modeling in Engineering, Mathematical Approximation and Integration, and Holomorphic and Operator Theory.

The scientist has contributed to various publication venues with a notable frequency in arXiv (Cornell University), having published ten papers there. Additional venues include the Israel Journal of Mathematics and Documentos de trabajo/Documento de trabajo - Banco de España, Servicio de Estudios, both with two publications each. Other publications appear in the International Mathematics Research Notices and the Journal of Mathematical Analysis and Applications.

Recent papers by Carlos Pérez are as follows:

On the BBM-Phenomenon in Fractional Poincaré-Sobolev Inequalities with Weights (2022), published in International Mathematics Research Notices
Vector-valued operators, optimal weighted estimates and the Cp condition (2020), published in Science China Mathematics
Weighted Lorentz spaces: Sharp mixed A−A∞ estimate for maximal functions (2022), published in Journal of Mathematical Analysis and Applications
Pointwise estimates for rough operators with applications to Sobolev inequalities (2023), published in arXiv (Cornell University)
A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem (2023), published in Revista de la Unión Matemática Argentina

Throughout their career, Carlos Pérez has collaborated frequently with several researchers, including:

Cong Hoang
Kabe Moen
Ritva Hurri-Syrjänen
Javier C. Martínez-Perales
Ezequiel Rela

Their work in mathematics combines theoretical and applied approaches, with a significant concentration on harmonic analysis and partial differential equations. The diverse range of publication venues and collaboration partners reflects a broad engagement with contemporary mathematical research challenges across different domains.

Best Publications

Endpoint Estimates for Commutators of Singular Integral Operators

C. Perez

559
Citations
The boundedness of classical operators on variable L-p spaces

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

540
Citations
Weights, Extrapolation and the Theory of Rubio de Francia

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

494
Citations
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory

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

494
Citations
Sharp weighted bounds involving A

Tuomas Hytönen;Carlos Pérez

393
Citations
SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS

C. Pérez;R. Trujillo-González

350
Citations
Sharp Reverse Hölder property for A∞ weights on spaces of homogeneous type

Tuomas Hytönen;Carlos Pérez;Ezequiel Rela

282
Citations
On Sufficient Conditions for the Boundedness of the Hardy–Littlewood Maximal Operator between Weighted Lp-Spaces with Different Weights

Carlos Perez

271
Citations
Weighted estimates for commutators of linear operators

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

256
Citations
Sharp weighted estimates for classical operators

David Cruz-Uribe;José María Martell;Carlos Pérez Moreno

255
Citations
Weighted Norm Inequalities for Singular Integral Operators

C. Pérez

251
Citations
Extrapolation from A∞ weights and applications

David Cruz-Uribe;J. M. Martell;Carlos Pérez

205
Citations
Self-Improving Properties of John-Nirenberg and Poincare Inequalities on Spaces of Homogeneous Type

Bruno Franchi;Carlos Pérez;Richard L Wheeden

177
Citations
Sharp maximal function estimates for multilinear singular integrals

Carlos Perez;Rodolfo H. Torres

171
Citations
Sharp Estimates for Commutators of Singular Integrals via Iterations of the Hardy-Littlewood Maximal Function.

Carlos Pérez

161
Citations
SHARP WEIGHTED ENDPOINT ESTIMATES FOR COMMUTATORS OF SINGULAR INTEGRALS

Carlos Pérez;Gladis Pradolini

161
Citations
Ap weights for nondoubling measures in Rn and applications

Joan Orobitg;Carlos Pérez

146
Citations
SHARP WEIGHTED BOUNDS FOR FRACTIONAL INTEGRAL OPERATORS

Michael T. Lacey;Kabe Moen;Carlos Pérez;Rodolfo H. Torres

133
Citations
Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals

Guillermo P. Curbera;José García-Cuerva;José María Martell;Carlos Pérez

132
Citations
Sharp weighted bounds for the q-variation of singular integrals

Tuomas P. Hytönen;Michael T. Lacey;Carlos Pérez

116
Citations
End-point estimates for iterated commutators of multilinear singular integrals

Carlos Pérez;Gladis Pradolini;Rodolfo H. Torres;Rodrigo Trujillo-González

110
Citations
Non-probabilistic proof of the A_2 theorem, and sharp weighted bounds for the q-variation of singular integrals

Tuomas P. Hytönen;Michael T. Lacey;Carlos Pérez

85
Citations
Sharp weighted bounds involving A_

Tuomas Hytönen;Carlos Pérez

0
Citations

Frequent Co-Authors

José María Martell Institute of Mathematical Sciences

David Cruz-Uribe University of Alabama

Tuomas Hytönen Aalto University

Rodolfo H. Torres University of California, Riverside

Alexander Volberg Michigan State University

Sergei Treil Brown University

Richard L. Wheeden Rutgers, The State University of New Jersey

Michael T. Lacey Georgia Institute of Technology

Guozhen Lu University of Connecticut

Loukas Grafakos University of Missouri

External Links

Personal website of Carlos Pérez

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