Harmonic Analysis and Partial Differential Equations: Proceedings of a Conference Held April 4-5, 1988

Harmonic Analysis and Partial Differential Equations: Proceedings of a Conference Held April 4-5, 1988
ISBN-10
0821851136
ISBN-13
9780821851135
Series
Harmonic Analysis and Partial Differential Equations
Category
Mathematics
Pages
129
Language
English
Published
1990
Publisher
American Mathematical Soc.
Authors
Mario Milman, Tomas Schonbek

Description

This book brings together ten papers presented at the Conference on Harmonic Analysis and Partial Differential Equations, held in April 1988 at Florida Atlantic University. The papers illuminate the relationship between harmonic analysis and partial differential equations and present results of some of the foremost experts in these areas. Among the topics covered are: application of fully nonlinear, uniformly elliptic equations to the Monge Ampere equation; estimates for Green functions for the purpose of studying Dirichlet problems for operators in non-divergence form; an extension of classical potential theory to the case of nonsmooth domains; the relation between Riesz potentials and maximal fractional operators due to Muckenhoupt and Wheeden; and the Lax-Phillips scattering theory applied to the double Hilbert transform. Directed at research mathematicians and graduate students, the papers require knowledge of the classical tools of analysis, such as measure theory, Sobolev spaces, and potential theory.

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