03048nam 22006135 450 991030013520332120200629133824.03-319-95040-110.1007/978-3-319-95040-2(CKB)4100000006674800(DE-He213)978-3-319-95040-2(MiAaPQ)EBC6296577(PPN)230538169(EXLCZ)99410000000667480020180920d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierGaussian Capacity Analysis /by Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (IX, 108 p. 1 illus.) Lecture Notes in Mathematics,0075-8434 ;22253-319-95039-8 Includes bibliographical references & index.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. .Lecture Notes in Mathematics,0075-8434 ;2225ProbabilitiesFunctional analysisPartial differential equationsProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Probabilities.Functional analysis.Partial differential equations.Probability Theory and Stochastic Processes.Functional Analysis.Partial Differential Equations.519.2Liu Liguangauthttp://id.loc.gov/vocabulary/relators/aut785922Xiao Jieauthttp://id.loc.gov/vocabulary/relators/autYang Dachunauthttp://id.loc.gov/vocabulary/relators/autYuan Wenauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300135203321Gaussian Capacity Analysis1923098UNINA