Recent Developments in Real and Harmonic Analysis
In Honor of Carlos Segovia
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Beschreibung
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
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.
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.
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.
Presents recent developments in real and harmonic analysis Contributors include outstanding researchers in their respective fields Offers a good blend of expository chapters and state-of-the-art surveys Is a good reference for graduate students and pure and applied mathematicians Includes supplementary material: sn.pub/extras
Autor*in
Carlos Cabrelli
Themen in »Recent Developments in Real and Harmonic Analysis«
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 partial differential equations