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Gaussian Capacity Analysis (Paperback, 1st ed. 2018)
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Gaussian Capacity Analysis (Paperback, 1st ed. 2018)
Series: Lecture Notes in Mathematics, 2225
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This monograph develops the Gaussian functional capacity theory
with applications to restricting the Gaussian Campanato/Sobolev/BV
space. Included in the text is a new geometric characterization of
the Gaussian 1-capacity and the Gaussian Poincare 1-inequality.
Applications to function spaces and geometric measures are also
presented. This book will be of use to researchers who specialize
in potential theory, elliptic differential equations, functional
analysis, probability, and geometric measure theory.
General
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