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Gaussian Capacity Analysis
Paperback
Series: Lecture Notes in Mathematics, Book 2225
General MathematicsProbability & Statistics
ISBN13: 9783319950396
Publisher: Springer
Published: Sep 21 2018
Pages: 108
Weight: 0.39
Height: 0.25 Width: 6.14 Depth: 9.21
Language: English
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 Poincaré 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.
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