Contemporary Mathematics 1990; 129 pp; softcover Volume: 107 ISBN10: 0821851136 ISBN13: 9780821851135 List Price: US$51 Member Price: US$40.80 Order Code: CONM/107
 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 nondivergence 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 LaxPhillips 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  B. Barcelo, L. Escauriaza, and E. Fabes  Gradient estimates at the boundary for solutions to nondivergence elliptic equations
 L. A. Caffarelli  Interior regularity of solutions to Monge Ampère equations\
 M. Cotlar and C. Sadosky  The HelsonSzegö theorem in \(L^p\) of the bidimensional torus
 B. E. Dahlberg and G. Verchota  Galerkin methods for the boundary integral equations of elliptic equations in nonsmooth domains
 R. Fefferman  Some applications of Hardy spaces and BMO in harmonic analysis and partial differential equations
 B. Jawerth, C. Perez, and G. Wellland  The positive cone in TriebelLizorkin spaces and the relation among potential and maximal operators
 R. Johnson  Changes of variable and \(A_p\) weights
 C. E. Kenig  Progress on two problems posed by Rivière
 A. C. Lazer and P. J. McKenna  Fredholm theory for periodic solutions of some semilinear P.D.E.s with homogeneous nonlinearities
 W. A. Strauss  Stability of solitary waves
