Recent Developments in Real and Harmonic

This unified and self-contained volume examines recent developments in real and harmonic analysis. It is a collection of invited articles, dedicated to Dr. Carlos Segovia on the occasion of his 65th birthday. The first part of the book is comprised of four expository chapters reflecting material presented in mini-courses written by outstanding researchers in their fields. The second part of the books contains state-of-the-art survey chapters covering topics related to Segovia's work and research interests during his distinguished career.Specific topics covered include:* Constrained problems for fractional powers of the Laplacian* Topics related to Monge'Ampère type equations* A unified theory of wavelets and Gabor frames* Unique continuation and dispersive equations* Gaussian harmonic analysisThis book will be useful to graduate students and pure and applied mathematicians interested in new mathematical developments in areas related to real and harmonic analysis.Contributors include:H. Aimar, A. Bonami, O. Blasco, L. Caffarelli, A. de la Torre, L. Forzani, C. Gutierrez, E. Harboure, E. Hernadez, C. Kenig, R. Macías, F.J. Marin-Reyes

ANHA Series Preface	p. VII
Foreword	p. XI
Preface	p. XIII
Publications of Carlos Segovia	p. XV
List of Contributors	p. XIX
Carlos Segovia Fernández	p. 1
Balls as Subspaces of Homogeneous Type: On a Construction due to R. Macías and C. Segovia	p. 25
Some Aspects of Vector-Valued Singular Integrals	p. 37
Products of Functions in Hardy and Lipschitz or BMO Spaces	p. 57
Harmonic Analysis Related to Hermite Expansions	p. 73
Weights for One-Sided Operators	p. 97
Lectures on Gas Flow in Porous Media	p. 133
Sharp Global Bounds for the Hessian on Pseudo-Hermitian Manifolds	p. 159
Recent Progress on the Global Well-Posedness of the KPI Equation	p. 173
On Monge-Ampère Type Equations and Applications	p. 179
Index	p. 191
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Recent Developments in Real and Harmonic Analysis

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