02506nam a2200493 i 4500991003632509707536m o d cr nn||||mamaa190327t2018 sz o 100 0 eng d9783319950402electronic book3319950398978331995039610.1007/978-3-319-95040-2doib14363306-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. MatematicaengAMS 31B15Liu, Liguang785922Gaussian capacity analysis[e-book] /Liguang Liu, Jie Xiao, Dachun Yang, Wen YuanCham :Springer,[2018?]©20181 online resourcetexttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture notes in mathematics,0075-8434 ;2225Includes bibliographical references and indexGaussian 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-capacityThis 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 theoryDifferential equations, EllipticFunctional analysisGaussian distributionGeometric measure theoryPotential theoryXiao, Jieauthorhttp://id.loc.gov/vocabulary/relators/aut352355Yang, Dachunauthorhttp://id.loc.gov/vocabulary/relators/aut479675Yuan, WenPrinted edition:9783319950419An electronic book accessible through the World Wide Webhttp://link.springer.com/10.1007/978-3-319-95040-2.b1436330603-03-2227-03-19991003632509707536Gaussian capacity analysis1749850UNISALENTOle01327-03-19m@ -engsz 00