Recent Developments in Real and Harmonic Analysis

In Honor of Carlos Segovia

  • Carlos Cabrelli
  • Jose Luis Torrea

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages 1-20
  2. Roberto A. Macías, José L. Torrea
    Pages 1-24
  3. Aline Bonami, Justin Feuto
    Pages 57-71
  4. Liliana Forzani, Eleonor Harboure, Roberto Scotto
    Pages 73-96
  5. Francisco Javier Martín-Reyes, Pedro Ortega, Alberto la de Torre
    Pages 97-132
  6. Luis A. Caffarelli, Aram L. Karakhanyan
    Pages 133-157
  7. Sagun Chanillo, Juan J. Manfredi
    Pages 159-172
  8. Cristian E. Gutiérrez
    Pages 179-190
  9. Back Matter
    Pages 191-195

About this book


A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis. The work begins with a chronological description of Segovia’s mathematical life, his original ideas and their evolution, which may be a source of inspiration for many mathematicians working in the fields of harmonic analysis, functional analysis, and partial differential equations. Apart from this contribution, two different types of chapters are featured in the work: surveys dealing with Carlos’ favorite topics, and PDE works written by students and colleagues close to Segovia whose careers were in some way influenced by him.

Specific topics covered include:

* Vector-valued singular integral equations

* Harmonic analysis related to Hermite expansions

* Gas flow in porous media

* Global well-posedness of the KPI Equation

* Monge–Ampère type equations and applications

* Spaces of homogeneous type

* Hardy and Lipschitz spaces

* One-sided operators

This book will be useful to graduate students as well as pure and applied mathematicians interested in new mathematical developments in areas related to real and harmonic analysis.

Contributors: H. Aimar, A. Bonami, O. Blasco, L.A. Caffarelli, S. Chanillo, J. Feuto, L. Forzani, C.E. Gutíerrez, E. Harboure, A.L. Karakhanyan, C.E. Kenig, R.A. Macías, J.J. Manfredi, F.J. Martín-Reyes, P. Ortega, R. Scotto, A. de la Torre, J.L. Torrea


Carlos Segovia Hardy, Lipschitz spaces Monge–Ampère equations Singular integral functional analysis gas flow, porous media global well-posedness, KPI Equation harmonic analysis harmonic analysis, Hermite expansions one-sided operators partial differential equation spaces of homogeneous type vector-valued singular integral equations

Editors and affiliations

  • Carlos Cabrelli
    • 1
  • Jose Luis Torrea
    • 2
  1. 1.Departamento de MatemáticsUniversidad de Buenos Aires Fac. de Ciencias Exactas y NaturalesBuenos AiresArgentina
  2. 2.Depto. MatematicasUniversidad Autonoma de Madrid Facultad de CienciasMadridSpain

Bibliographic information