Recent Developments in Real and Harmonic Analysis: In Honor of Carlos Segovia

ISBN-13: 9780817645311 / Angielski / Twarda / 2009 / 196 str.

Carlos Cabrelli;Jose Luis Torrea

Opis

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, highlighting his original ideas and their evolution. Also included are 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.

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

Spis treści

ANHA Series Preface Foreword Preface Publications of Carlos Segovia Carlos Segovia Fernández \ Roberto A. Mac´ias and José L. Torrea Balls as Subspaces of Homogeneous Type: On a Construction due to R. Macías and C. Segovia \ Hugo Aimar Some Aspects of Vector-Valued Singular Integrals \ Oscar Blasco Products of Functions in Hardy and Lipschitz or BMO Spaces \ Aline Bonami and Justin Feuto Harmonic Analysis Related to Hermite Expansions \ Liliana Forzani, Eleonor Harboure, and Roberto Scotto Weights for One–Sided Operators \ Francisco Javier Martín-Reyes, Pedro Ortega, and Alberto de la Torre Lectures on Gas Flow in Porous Media \ Luis A. Caffarelli and Aram L. Karakhanyan Sharp Global Bounds for the Hessian on Pseudo-Hermitian Manifolds \ Sagun Chanillo and Juan J. Manfredi Recent Progress on the Global Well-Posedness of the KPI Equation \ Carlos E. Kenig On Monge–Ampère Type Equations and Applications \ Cristian E. Gutiérrez Index

Blurb

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