Hardy Spaces And Potential Theory On C Superscript 1 Domains In Riemannian Manifolds

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Hardy Spaces and Potential Theory on C[superscript 1] Domains in Riemannian Manifolds
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Studies Hardy spaces on $C DEGREES1$ and Lipschitz domains in Riemannian manifolds. The author establishes this theorem in any dimension if the domain is $C DEGREES1$, in case of a Lipschitz domain the result holds if dim $M\le 3$. The remaining cases for Lipschitz domain
Causal Symmetric Spaces

This book introduces researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered "standard" by specialists have not been widely published. This book brings this information to students and researchers in geometry and analysis of causal symmetric spaces. During the last several years, a fairly complete structure theory of irreducible causal symmetric spaces has emerged. This book is the first to present this theory with exhaustive proofs. The final chapters provide an introduction to the applications of this topic to harmonic analysis.
Classical and Modern Potential Theory and Applications

Proceedings of the NATO Advanced Research Workshop, Château de Bonas, France, July 25--31, 1993