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

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
大きさ	IX, 108 p. 1 illus : online resource
著者標目	*Liu, Liguang author Xiao, Jie author Yang, Dachun author Yuan, Wen author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Functional analysis LCSH:Differential equations FREE:Probability Theory FREE:Functional Analysis FREE:Differential Equations
一般注記	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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