Carlos Pérez Moreno

Ikerbasque Research Professor, UPV/EHU and BCAM

Ikerbasque Research Professor at the Mathematics Department of the University of the Basque Country UPV/EHU and BCAM.

Research line:

Harmonic and Real Analysis.

Previous research experience at University Autonomous of Madrid; Centre de Recerca Matemàtica, Barcelona; Rutgers University, University of Kansas; Mittag-Leffler Institute, Stockholm and University of Seville.

Doctor in Mathematics in 1989, Washington University in St. Louis (USA).

2024

Article / Weighted fractional Poincaré inequalities via isoperimetric inequalities

Calculus of Variations and Partial Differential Equations

Myyryläinen, K.; Pérez, C.; Weigt, J.

2023

Article / Self-improving Poincaré-Sobolev type functionals in product spaces

Journal d'Analyse Mathematique

Cejas, M.E.; Mosquera, C.; Pérez, C.; Rela, E.

Article / Weighted Lorentz spaces: Sharp mixed Ap − A∞ estimate for maximal functions

Journal of Mathematical Analysis and Applications

Accomazzo, N.; Duoandikoetxea, J.; Nieraeth, Z.; Ombrosi, S.; Pérez, C.

Article / A TRIBUTE TO POLA HARBOURE: ISOPERIMETRIC INEQUALITIES AND THE HMS EXTRAPOLATION THEOREM

Revista de la Union Matematica Argentina

Pérez, C.; Rela, E.

Article / On the BBM-Phenomenon in Fractional Poincare-Sobolev Inequalities with Weights

International Mathematics Research Notices

Hurri-Syrjänen, R.; Martínez-Perales, J.C.; Perez, C.; Vähäkangas, A.V.

2022

Article / Some Non-standard Biparametric Poincaré Type Inequalities Through Harmonic Analysis

Journal of Fourier Analysis and Applications

Cejas, M.E.; Mosquera, C.; Pérez, C.; Rela, E.

Article / Sawyer-type inequalities for Lorentz spaces

Mathematische Annalen

Pérez, C.; Roure-Perdices, E.

Article / Minimal conditions for BMO

Journal of Functional Analysis

Canto, J.; Pérez, C.; Rela, E.

2021

Article / Sawyer-type inequalities for Lorentz spaces

Math. Annalen

E. Roure and C. Pérez

Article / Self-improving Poincaré-Sobolev type functionals in product spaces

Journal d'Analyse (to appear), \url{arXiv:2104.08901}

E. Cejas, C. Mosquera, C. Pérez and E. Rela,

Article / Some non-standard biparametric Poincaré type inequalities through harmonic analysis

Journal of Fourier analysis and applications (to appear)

E. Cejas, C. Mosquera, C. Pérez and E. Rela,

Article / Weighted Lorentz spaces: sharp mixed A_p-A_{\infty} estimate for maximal functions

submitted for publication

N. Accomazzo, J. Duoandikoetxea, Z. Nieraeth, S. Ombrosi and C. Pérez

Article / Extensions of the john–nirenberg theorem and applications

Proceedings of the American Mathematical Society

Canto, J.; Pérez, C.

2020

Article / Extensions of the John--Nirenberg theorem and applications

J, Canto and C. Pérez

Article / A note on generalized Fujii-Wilson conditions and BMO spaces

Israel Journal of Mathematics

Ombrosi, S.; Pérez, C.; Rela, E.; Rivera-Ríos, I.P.

Article / Vector-valued operators, optimal weighted estimates and the Cp condition

Science China Mathematics

Cejas, M.E.; Li, K.; Pérez, C.; Rivera-Ríos, I.P.

2019

Article / Degenerate Poincaré-Sobolev inequalities

Trans. Amer. Math. Soc.

C. Pérez and E. Rela

Article / Degenerate Poincaré-Sobolev inequalities

Transactions of the American Mathematical Society

Pérez, C.; Rela, E.

Article / Weighted Norm Inequalities for Rough Singular Integral Operators

Journal of Geometric Analysis

Li, K.; Pérez, C.; Rivera-Ríos, I.P.; Roncal, L.

Article / Proof of an extension of E. Sawyer’s conjecture about weighted mixed weak-type estimates

Mathematische Annalen

Li, K.; Ombrosi, S.; Pérez, C.

Article / A1 theory of weights for rough homogeneous singular integrals and commutators

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Perez, C.; Rivera-Rios, I.P.; Roncal, L.

2018

Article / A lower bound for Ap exponents for some weighted weak-type inequalities

The Journal of Analysis

C. Pérez and I. P. Rivera-Ríos

Article / A lower bound for Ap exponents for some weighted weak-type inequalities

Journal of Analysis

Pérez, C.; Rivera-Ríos, I.P.

Article / Regularity of maximal functions on Hardy–Sobolev spaces

Bulletin of the London Mathematical Society

Pérez, C.; Picon, T.; Saari, O.; Sousa, M.

2017

Chapter / Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory. Celebrating Cora Sadosky's Life. Vol.2.

Stefanía Marcantognini, Cristina Pereyra, Alex Stokolos y Wilfredo Urbina.

C. Pérez and Israel P. Rivera-Ríos

Article / Reverse Hölder property for strong weights and general measures

J. Geom. Anal.

T. Luque, C. Pérez and Ezequiel Rela

Article / Borderline weighted estimates for commutators of singular integrals

Israel Journal of Mathematics

Pérez, C.; Rivera-Ríos, I.P.

Article / Reverse Hölder Property for Strong Weights and General Measures

Journal of Geometric Analysis

Luque, T.; Pérez, C.; Rela, E.

2016

Chapter / School on Nonlinear Analysis, Function Spaces and Applications

C. Pérez

Article / A note on the off-diagonal Muckenhoupt-Wheeden conjectur

Advanced Courses in Mathematical Analysis V, Proceedings of the Fifth International School, World Scientific

D. Cruz-Uribe, J.M. Martell and C. Pérez

Article / Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer

Colloquium Mathematicum

Ombrosi, S.; Pérez, C.

Article / Quantitative weighted mixed weak-type inequalities for classical operators

Indiana University Mathematics Journal

Ombrosi, S.; Pérez, C.; Recchi, J.

2015

Book / Harmonic and Geometric Analysis

G. Citti, L. Grafakos, C. Pérez, A. Sarti and X. C. Zhong

Article / Sharp Weighted Bounds for Multilinear Maximal Functions and Calderón–Zygmund Operators

Journal of Fourier Analysis and Applications

Damián, W.; Lerner, A.K.; Pérez, C.

Article / The L(log L)<sup>ε</sup> endpoint estimate for maximal singular integral operators

Journal of Mathematical Analysis and Applications

Hytönen, T.; Pérez, C.

Article / Optimal exponents in weighted estimates without examples

Mathematical Research Letters

Luque, T.; Pérez, C.; Rela, E.

Poincaré-Sobolev inequalities (Temptative)

University of the Basque Country

Iker Gardeazabal Gutiérrez - In preparation

Weighted estimates for multilinear maximal functions and singular integral operators

University of Seville

Wendolín Damián González - Finished

Not yet defined

Universidad Nacional del Litoral

Esteban Radesca - In preparation

2019

Summer School "Dyadic Harmonic Analysis, Martingales, and Paraproducts." Bazaleti, Georgia, from September 2 to 6, 2019. 10 hours course

2017

instructor VII Escuela network of Análisis Funcional (6-11 march 2017), Cáceres, Spain. "Analysis of the Poincaré-Sobolev inequalities"

10 hour lectures, BCAM-UPV/EHU Graduate School: Introduction To Geometric Analysis: The Atiyah-Singer Index Theorem. June 2017.

2016

An introduction to the Ap theory of weights and its connection with Singular Integral Operators and commutators

2015

Mini postdoctoral course, Department of Mathematics, University of Cincinnati, February 2015.

Graduate Course (in total 30 hours approximately), Aalto University, Helsinki, Spring 2015.

``A modern introduction to the theory of weights" (10 hours course), BCAM (Basque Center for Applied Mathematics), July 2015.

2022

Invited talk | TBA

Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis XI - Invited talk

C. Pérez

2021

Invited talk | Fractional Poincare ́-Sobolev inequalities and Harmonic Analysis

Special Session on Harmonic Analysis and Related Topics, of the ICMC Summer Meeting on Differential Equations, Sao Carlos, Brasil, 1-3 February of 2021. - Invited talk

C. Pérez

Invited talk | Fractional Degenerate Poincaré-Sobolev inequalities and Harmonic Analysis

Minisymposium in Harmonic Analysis and PDE - Invited talk

C. Pérez

Invited talk | BMO spaces: minimal conditions and extensions

Minisymposium in Geometric-functional inequalities and related topics - Invited talk

C. Pérez

Invited talk | MAXIMAL FUNCTION AND LORENTZ SPACES: THE SHARP MIXED WEIGHTED ESTIMATE

International Conference in honor of Lubos Pick, - Invited talk

C. Pérez

Invited talk | Fractional Degenerate Poincaré-Sobolev inequalities and Harmonic Analysis

Special Session ``Operator Theory and Harmonic Analysis" 13th International ISAAC congress - Invited talk

C. Pérez

2020

Invited talk | not yet given

Harmonic analysis workshop in Seoul - Invited talk

C. Pérez

Invited talk | not yet given

Probabilistic Aspects of Harmonic Analysis 2020 - Invited talk

C. Pérez

Invited talk | not yet given

8th European Congress of Mathematics (ECM), Slovenia, Minisymposium in Harmonic Analysis and PDE - Invited talk

C. Pérez

Invited talk | not yet given

8th European Congress of Mathematics (ECM), Minisymposium in Geometric-functional inequalities and related topics - Invited talk

C. Pérez

Invited talk | not yet given

Congreso Latinoamericano de Matemáticos (UMALCA-CLAM) conference, Montevideo, (Uruguay), 20-24 July 2020 - Invited talk

C. Pérez

2019

Invited talk | Degenerate Poincaré-Sobolev inequalities through Harmonic Analysis

Special session on ``Harmonic Analysis and Application - Invited talk

C. Pérez

Invited talk | Degenerate Poincaré-Sobolev inequalities through Harmonic Analysis

Harmonic Analysis and PDEs - Invited talk

C. Pérez

Invited talk | “The A_{\infty} class of weights and some of its extensions

Probability and Analysis 2019 - Invited talk

C. Pérez

Invited talk | Generalized BMO, Singular Integrals and the Cp class of weights

Harmonic Analysis in non-homogeneous settings and applications - Invited talk

C. Pérez

Invited talk | Degenerate Poincaré-Sobolev inequalities through Harmonic Analysis

Barcelona Analysis Conference 2019 - Invited talk

C. Pérez

Invited talk | Topics from harmonic analysis related to generalized Poincaré-Sobolev inequalities: 10 hours course

Summer School - Invited talk

C. Pérez

2018

Invited talk | Degenerate Poincaré inequalities

Atelier d’Analyse Harmonique 2018 - Invited talk

C. Pérez

Invited talk | Degenerate Poincaré-Sobolev inequalities: recent results

Probabilistic Aspects of Harmonic Analysis 2018 in honor of Prof. Ewa Damek - Invited talk

C. Pérez

Invited talk | Degenerate Poincaré-Sobolev inequalities: recent results

Session on Harmonic Analysis and Partial Differential Equations, The joint International Meeting of CMS-AMS - Invited talk

C. Pérez

Invited talk | A revised version of the Harboure-Macias-Segovia extrapolation theorem

International Conference on Harmonic Analysis and Its Applications, in honor of Professor Shanzhen Lu. - Invited talk

C. Pérez

Invited talk | Degenerate Poincaré-Sobolev inequalities: recent results

Harmonic Analysis Day - Invited talk

C. Pérez

Invited talk | Extensiones de la clase A_{\infty} y sus aplicaciones

XIV Encuentro Nacional de Analistas A. P. Calderón - Invited talk

C. Pérez

Invited talk | Degenerate Poincaré-Sobolev inequalities: recent results

International Workshop on Singular Integral Operators Chern Institute of Mathematics - Invited talk

C. Pérez

2017

Invited talk | Extensions of the weak type (1; 1) property for classical maximal operator and rough singular integral operators

London Mathematical Society Harmonic Analysis and PDE meeting - Invited talk

Carlos Perez

Invited talk | Extensions of the weak type (1; 1) property for classical maximal operator and rough singular integral operators

International Conference on Fourier Analysis and Wavelets, 20th Ramanujan Symposium - Invited talk

Carlos Perez

Invited talk | Extensions of the weak type (1; 1) property for classical maximal operator and rough singular integral operators

Complex and Harmonic Analysis III - Invited talk

Carlos Perez

Invited talk | Rough singular integrals and the maximal function: new borderline weighted estimates

International Workshop on Computational Harmonic Analysis - Invited talk

Carlos Perez

Invited talk | Rough singular integrals and the maximal function: new borderline weighted estimates

Banach Spaces and Operator Theory with applications in honor of Mieczyslaw Mastylo - Invited talk

Carlos Perez

Invited talk | Rough singular integrals and the maximal function: new borderline weighted estimates

International conference in harmonic analysis in honor of Prof Xuan Duong - Invited talk

Carlos Perez

Invited talk | Rough singular integrals and the maximal function: new borderline weighted estimates

Real Analysis, Harmonic Analysis and Applications - Invited talk

Carlos Perez

Invited talk | Sparsity and Extrapolation: “a good pairing”

Brazilian Mathematical Colloquium, special session on ``Harmonic Analysis and Application - Invited talk

Carlos Perez

Invited talk | Sparsity and Extrapolation: “a good pairing”

CIMPA2017 Research School Harmonic Analysis, Geometric Measure Theory and Applications - Invited talk

Carlos Perez

Invited talk | Rough singular integrals and rough Hardy inequalities via maximal functions

1st Summer School on Harmonic Analysis, Spectral Theory and PDE's - Invited talk

Carlos Perez

Invited talk | Extensions of the weak type (1; 1) property for classical and no so classical operators

Sympozium in Functional and Harmonic Analysis - Invited talk

C. Pérez

Invited talk | Integrales Singulares y teoria de pesos: tres problemas abiertos

XIII Encuentro de la Red de Análisis Funcional - Invited talk

Carlos Perez

2015

Invited talk | Commutators of singular integral operators with BMO functions

The Ohio River Analysis Meeting - Invited talk

Carlos Pérez

Invited talk | On commutators of singular integral operators with BMO functions

Workshop on Function spaces, Harmonic Analysis and Related Topics-on the occasion of the 67th birthday of Viktor Kolyada - Invited talk

Carlos Pérez

Invited talk | International workshop "Frontiers of Singular Integrals", organizer, June 2-5, University of Helsinki.

International workshop "Frontiers of Singular Integrals" - Invited talk

C. Pérez