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Mathematics

D-Index
37
Citations
5008
World Ranking
2531
National Ranking
45

Overview

José María Martell is affiliated with the Institute of Mathematical Sciences in Spain and has an active research profile primarily focused on Mathematics. Their work broadly covers Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis, and Geometry and Topology.

The scientist's research topics include advanced areas such as:

  • Advanced Harmonic Analysis Research
  • Nonlinear Partial Differential Equations
  • Differential Equations and Boundary Problems
  • Advanced Mathematical Modeling in Engineering
  • Mathematical Analysis and Transform Methods
  • Advanced Mathematical Physics Problems
  • Holomorphic and Operator Theory

José María Martell has contributed to numerous publications, with a significant number appearing in prominent venues. Their frequent publication venues are:

  • arXiv (Cornell University)
  • Inventiones mathematicae
  • Advances in Mathematics
  • Transactions of the American Mathematical Society
  • Geometric and Functional Analysis

Recent papers authored or coauthored by Martell include:

  • "Harmonic measure and quantitative connectivity: geometric characterization of the Lp-solvability of the Dirichlet problem" (2020), published in Inventiones mathematicae
  • "Extrapolation for multilinear Muckenhoupt classes and applications" (2020), published in Advances in Mathematics
  • "End-point estimates, extrapolation for multilinear Muckenhoupt classes, and applications" (2020), published in Transactions of the American Mathematical Society
  • "Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition" (2021), published in Geometric and Functional Analysis
  • "Extrapolation on function and modular spaces, and applications" (2022), published in Advances in Mathematics

The scientist collaborates frequently with:

  • Juan Marín
  • Dorina Mitrea
  • Irina Mitrea
  • Marius Mitrea
  • Steve Hofmann

José María Martell has also contributed to academic literature through book publications. Notably, they authored a book titled "Singular Integral Operators, Quantitative Flatness, and Boundary Problems", published by Birkhäuser in 2022.

Best Publications

  • The boundedness of classical operators on variable L-p spaces

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

  • Weights, Extrapolation and the Theory of Rubio de Francia

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

  • Sharp weighted estimates for classical operators

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

  • Extrapolation from A∞ weights and applications

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

  • Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part I: General operator theory and weights

    Pascal Auscher;José María Martell

  • Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications

    José María Martell

  • Extrapolation of Weighted norm inequalities for multivariable operators and applications

    Loukas Grafakos;Loukas Grafakos;José María Martell;José María Martell

  • 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

  • Lp bounds for Riesz transforms and square roots associated to second order elliptic operators

    Steve Hofmann;José María Martell

  • Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$

    Steve Hofmann;José María Martell

  • Uniform rectifiability and harmonic measure II: Poisson kernels in $L^p$ imply uniform rectifiability

    Steve Hofmann;José María Martell;Ignacio Uriarte-Tuero

  • Harmonic Analysis and Partial Differential Equations

    Patricio Cifuentes;José García-Cuerva;Gustavo Garrigós;Eugenio Hernández

  • WEIGHTED NORM INEQUALITIES, OFF-DIAGONAL ESTIMATES AND ELLIPTIC OPERATORS PART II: OFF-DIAGONAL ESTIMATES ON SPACES OF HOMOGENEOUS TYPE

    Pascal Auscher;José María Martell

  • Weighted weak-type inequalities and a conjecture of Sawyer

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

  • Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture

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

  • Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part III: Harmonic analysis of elliptic operators

    Pascal Auscher;José María Martell

  • Sharp weighted estimates for approximating dyadic operators

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

  • Wavelet characterization of weighted spaces

    J. García-Cuerva;J. M. Martell

  • Uniform rectifiability and harmonic measure, II: Poisson kernels in Lp imply uniform rectifiability

    Steve Hofmann;José María Martell;Ignacio Uriarte-Tuero

  • A new characterization of chord-arc domains

    Jonas Azzam;Steve Hofmann;Jose Maria Martell;Kaj Nyström

  • A new characterization of chord-arc domains

    Jonas Azzam;Steve Hofmann;José María Martell;Kaj Nyström

  • Weighted norm inequalities, off-diagonal estimates and elliptic operators

    Pascal Auscher;José Maria Martell

Frequent Co-Authors

Steve Hofmann
Steve Hofmann University of Missouri
David Cruz-Uribe
David Cruz-Uribe University of Alabama
Carlos Pérez
Carlos Pérez University of the Basque Country
Marius Mitrea
Marius Mitrea Baylor University
Pascal Auscher
Pascal Auscher University of Paris-Saclay
Loukas Grafakos
Loukas Grafakos University of Missouri
Alexander Volberg
Alexander Volberg Michigan State University
Rodolfo H. Torres
Rodolfo H. Torres University of California, Riverside
José L. Torrea
José L. Torrea Autonomous University of Madrid

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