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＜E-Book＞
Gaussian Capacity Analysis / by Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan
(Lecture Notes in Mathematics. ISSN:16179692 ; 2225)

Edition	1st ed. 2018.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2018
Size	IX, 108 p. 1 illus : online resource
Authors	*Liu, Liguang author Xiao, Jie author Yang, Dachun author Yuan, Wen author SpringerLink (Online service)
Subjects	LCSH:Probabilities LCSH:Functional analysis LCSH:Differential equations FREE:Probability Theory FREE:Functional Analysis FREE:Differential Equations
Notes	Gaussian Sobolev p-space -- Gaussian Campanato (p, k)-class -- Gaussian p-capacity -- Restriction of Gaussian Sobolev p-space -- Gaussian 1-capacity to Gaussian ∞-capacity -- Gaussian BV-capacity 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. HTTP:URL=https://doi.org/10.1007/978-3-319-95040-2

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