Gaussian Capacity Analysis

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Statistics
Cover of the book Gaussian Capacity Analysis by Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan, Springer International Publishing
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Author: Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan ISBN: 9783319950402
Publisher: Springer International Publishing Publication: September 20, 2018
Imprint: Springer Language: English
Author: Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan
ISBN: 9783319950402
Publisher: Springer International Publishing
Publication: September 20, 2018
Imprint: Springer
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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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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