num_pages: 129
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 application of fully nonlinear, uniformly elliptic equations to the Monge Ampère 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.
language: English
title: Harmonic Analysis and Partial Differential Equations: Proceedings of a Conference Held April 4-5, 1988
titlecomplete: Harmonic Analysis and Partial Differential Equations: Proceedings of a Conference Held April 4-5, 1988 (Contemporary Mathematics)
publisher: Amer Mathematical Society