LEADER 02506nam a2200493 i 4500 001 991003632509707536 006 m o d 007 cr nn||||mamaa 008 190327t2018 sz o 100 0 eng d 020 $a9783319950402$qelectronic book 020 $z3319950398 020 $z9783319950396 024 7 $a10.1007/978-3-319-95040-2$2doi 035 $ab14363306-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 084 $aAMS 31B15 100 1 $aLiu, Liguang$0785922 245 10$aGaussian capacity analysis$h[e-book] /$cLiguang Liu, Jie Xiao, Dachun Yang, Wen Yuan 264 1$aCham :$bSpringer,$c[2018?] 264 4$c©2018 300 $a1 online resource 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 347 $atext file$bPDF$2rda 490 1 $aLecture notes in mathematics,$x0075-8434 ;$v2225 504 $aIncludes bibliographical references and index 505 0 $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 520 $aThis monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space. Included in the text is a new geometric characterization of the Gaussian 1-capacity and the Gaussian Poincaré 1-inequality. Applications to function spaces and geometric measures are also presented. This book will be of use to researchers who specialize in potential theory, elliptic differential equations, functional analysis, probability, and geometric measure theory 650 0$aDifferential equations, Elliptic 650 0$aFunctional analysis 650 0$aGaussian distribution 650 0$aGeometric measure theory 650 0$aPotential theory 700 1 $aXiao, Jie$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0352355 700 1 $aYang, Dachun$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0479675 700 1 $aYuan, Wen 776 08$iPrinted edition:$z9783319950419 856 40$zAn electronic book accessible through the World Wide Web$uhttp://link.springer.com/10.1007/978-3-319-95040-2 907 $a.b14363306$b03-03-22$c27-03-19 912 $a991003632509707536 996 $aGaussian capacity analysis$91749850 997 $aUNISALENTO 998 $ale013$b27-03-19$cm$d@ $e-$feng$gsz $h0$i0