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Mathematics

D-Index
38
Citations
4755
World Ranking
2391
National Ranking
40

Overview

José L. Torrea is affiliated with the Autonomous University of Madrid in Spain. Their primary research contributions lie within the broader field of Mathematics, with specific focus on areas such as Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, and Numerical Analysis.

Their work addresses a variety of advanced topics including Advanced Harmonic Analysis Research, Nonlinear Partial Differential Equations, Advanced Mathematical Physics Problems, Differential Equations and Boundary Problems, Spectral Theory in Mathematical Physics, Advanced Mathematical Modeling in Engineering, and Mathematical Analysis and Transform Methods.

Recent publications by José L. Torrea demonstrate active engagement with research on harmonic analysis and operator theory. Notable papers include:

  • "Boundedness of Differential Transforms for Heat Semigroups Generated by Schrödinger Operators" (2020), published in Canadian Journal of Mathematics
  • "Lipschitz spaces adapted to Schrödinger operators and regularity properties" (2020), published in Revista Matemática Complutense
  • "Parabolic Hermite Lipschitz Spaces: Regularity of Fractional Operators" (2020), published in Mediterranean Journal of Mathematics
  • "Hölder, Sobolev, weak-type and BMO estimates in mixed-norm with weights for parabolic equations" (2020), published in Science China Mathematics
  • "$L^p(\\mathbb{R}^n)$-dimension free estimates of the Riesz transforms" (2023), published in Revista de la Unión Matemática Argentina

Their frequent co-authors include Marta De León-Contreras, with whom they have collaborated on multiple papers, as well as Chao Zhang and Pablo Raúl Stinga.

José L. Torrea's research has been published in several mathematics journals, including:

  • Canadian Journal of Mathematics
  • Revista Matemática Complutense
  • Mediterranean Journal of Mathematics
  • Science China Mathematics
  • Revista de la Unión Matemática Argentina

Best Publications

  • Extension Problem and Harnack's Inequality for Some Fractional Operators

    Pablo Raúl Stinga;José Luis Torrea

  • Calderón-Zygmund theory for operator-valued kernels

    Unknown

  • BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality

    J. Dziubański;G. Garrigós;T. Martínez;J. L. Torrea

  • Poisson integrals and Riesz transforms for Hermite function expansions with weights

    Krzysztof Stempak;José Luis Torrea

  • Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications

    Óscar Ciaurri;Luz Roncal;Pablo Raúl Stinga;José L. Torrea

  • Weighted norm inequalities for commutators of strongly singular integrals

    J García-Cuerva;E Harboure;C Segovia;J. L Torrea

  • Weighted variation inequalities for differential operators and singular integrals

    Tao Ma;José Luis Torrea;Quanhua Xu;Quanhua Xu

  • Boundedness of commutators of fractional and singular integrals for the extreme values of $p$

    Eleonor Harboure;Carlos Segovia;José L. Torrea

  • Sobolev spaces associated to the harmonic oscillator

    B. Bongioanni;J. L. Torrea

  • Regularity Theory and Extension Problem for Fractional Nonlocal Parabolic Equations and the Master Equation

    Pablo Raúl Stinga;José L. Torrea

  • Higher order commutators for vector-valued Calderón-Zygmund operators

    Carlos Segovia;José L. Torrea

  • WEIGHTED INEQUALITIES FOR COMMUTATORS OF FRACTIONAL AND SINGULAR INTEGRALS

    Carlos Segovia;José L. Torrea

  • Harmonic analysis associated with a discrete Laplacian

    Óscar Ciaurri;T. Alastair Gillespie;Luz Roncal;José L. Torrea

  • Harmonic Analysis and Partial Differential Equations

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

  • L p -dimension free boundedness for Riesz transforms associated to Hermite functions

    E. Harboure;L. de Rosa;C. Segovia;J. L. Torrea

  • On Hardy spaces associated with Bessel operators

    Jorge J. Betancor;Jacek Dziubański;Jose Luis Torrea

  • Dimension free estimates for the oscillation of riesz transforms

    T. A. Gillespie;José L. Torrea

  • What is a Sobolev space for the Laguerre function systems

    B. Bongioanni;J. L. Torrea

  • Vector-valued Littlewood¿Paley¿Stein theory for semigroups

    Teresa Martínez;José L. Torrea;Quanhua Xu

  • Higher-order Riesz operators for the Ornstein–Uhlenbeck Semigroup

    José Garcia-Cuerva;Giancarlo Mauceri;Peter Sjögren;José Luis Torrea

  • Harmonic Analysis associated with a discrete Laplacian

    Ó. Ciaurri;T. A. Gillespie;L. Roncal;J. L. Torrea

Frequent Co-Authors

Quanhua Xu
Quanhua Xu Harbin Institute of Technology
Tuomas Hytönen
Tuomas Hytönen Aalto University

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