**Contemporary Mathematics**

Volume: 107;
1990;
129 pp;
Softcover

MSC: Primary 35; 42; 00;

Print ISBN: 978-0-8218-5113-5

Product Code: CONM/107

List Price: $51.00

Individual Member Price: $40.80

**Electronic ISBN: 978-0-8218-7695-4
Product Code: CONM/107.E**

List Price: $51.00

Individual Member Price: $40.80

# Harmonic Analysis and Partial Differential Equations

Share this page *Edited by *
*Mario Milman; Tomas Schonbek*

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 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.

#### Table of Contents

# Table of Contents

## Harmonic Analysis and Partial Differential Equations

- Contents ix10 free
- Preface xi12 free
- Gradient Estimates at the Boundary for Solutions to Nondivergence Elliptic Equations 114 free
- Interior Regularity of Solutions to Monge Ampère Equations 1326
- The Helson-Szegö Theorem in Lp of the Bidimensional Torus 1932
- Galerkin Methods for the Boundary Integral Equations of Elliptic Equations in Nonsmooth Domains 3952
- Some Applications of Hardy Spaces and BMO in Harmonic Analysis and Partial Differential Equations 6174
- The Positive Cone in Triebel-Lizorkin Spaces and the Relation Among Potential and Maximal Operators 7184
- Changes of Variable and Ap Weights 93106
- Progress on Two Problems Posed by Rivière 101114
- Fredholm Theory for Periodic Solutions of Some Semilinear P.D.E.s with Homogeneous Nonlinearities 109122
- Stability of Solitary Waves 123136