LEADER 03048nam 22006135 450 001 9910300135203321 005 20200629133824.0 010 $a3-319-95040-1 024 7 $a10.1007/978-3-319-95040-2 035 $a(CKB)4100000006674800 035 $a(DE-He213)978-3-319-95040-2 035 $a(MiAaPQ)EBC6296577 035 $a(PPN)230538169 035 $a(EXLCZ)994100000006674800 100 $a20180920d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGaussian Capacity Analysis /$fby Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (IX, 108 p. 1 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2225 311 $a3-319-95039-8 320 $aIncludes bibliographical references & index. 327 $aGaussian 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. 330 $aThis monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space. Included in the text is a new geometric characterization of the Gaussian 1-capacity and the Gaussian Poincaré 1-inequality. Applications to function spaces and geometric measures are also presented. This book will be of use to researchers who specialize in potential theory, elliptic differential equations, functional analysis, probability, and geometric measure theory. . 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2225 606 $aProbabilities 606 $aFunctional analysis 606 $aPartial differential equations 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aProbabilities. 615 0$aFunctional analysis. 615 0$aPartial differential equations. 615 14$aProbability Theory and Stochastic Processes. 615 24$aFunctional Analysis. 615 24$aPartial Differential Equations. 676 $a519.2 700 $aLiu$b Liguang$4aut$4http://id.loc.gov/vocabulary/relators/aut$0785922 702 $aXiao$b Jie$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aYang$b Dachun$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aYuan$b Wen$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300135203321 996 $aGaussian Capacity Analysis$91923098 997 $aUNINA