García-Cuerva J., Hernández E., Soria F., Torrea J.-L. Fourier Analysis and Partial Differential Equations

Boca Raton, USA: CRC Press, Taylor & Francis Group, 2018 (First published 1995). — 336 p. — (Studies in Advanced Mathematics). — ISBN13: 978-1-315-89303-7.Fourier Analysis and Partial Differential Equations presents the proceedings of the conference held at Miraflores de la Sierra in June 1992. These conferences are held periodically to assess new developments and results in the field. The proceedings are divided into two parts. Four mini-courses present a rich and actual piece of mathematics assuming minimal background from the audience and reaching the frontiers of present-day research. Twenty lectures cover a wide range of data in the fields of Fourier analysis and PDE. This book, representing the fourth conference in the series, is dedicated to the late mathematician Antoni Zygmund, who founded the Chicago School of Fourier Analysis, which had a notable influence in the development of the field and significantly contributed to the flourishing of Fourier analyis in SpainMemorial Articles
Antoni Zygmund 1900-1992
Stylianos Pichorides 1940-1 992
Main Lectures
Band-Limited Wavelets
Main Lectures
A Family of Degenerate Differential Operators
Solvability of Second-Order PDO's on Nilpotent Groups-A Survey of Recent Results
Recent Work on Sharp Estimates in Second Order Elliptic Unique Continuation Problems
Contribution Articles
Weighted Lipschitz Spaces Defned by a Banach Space
A Note on Monotone Functions
Hilbert Transforms in Weighted Distribution Spaces
Failure of an Endpoint Estimate for Integrals Along Curves
Spline Wavelet Bases of Weighted Spaces
A Note on Hardy 'S Inequality in Orlicz Spaces
A Characterization of Commutators of Parabolic Singular Integrals
Inequalities for Classical Operators in Orlicz Spaces
On the Herz Spaces with Power Weights
Oscillatory Singular Integrals on Hardy Spaces
Three Types of Weighted Inequalities for Integral Operators
Boundary Value Problems for Higher Order Operators in Lipschitz and C' Domains,
Ap and Approach Regions
Maximal Operators Associated to Hypersurfaces with One Nonvanishing Principal Curvature