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[null,"1.","Record Nr.",null,"UNINA9910300135203321"]
[null,null,"Autore",null,"Liu Liguang"]
[null,null,"Titolo",null,"Gaussian Capacity Analysis / / by Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018"]
[null,null,"ISBN",null,"3-319-95040-1"]
[null,null,"Edizione",null,"[1st ed. 2018.]"]
[null,null,"Descrizione fisica",null,"1 online resource (IX, 108 p. 1 illus.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 1617-9692 ; ; 2225"]
[null,null,"Disciplina",null,"519.2"]
[null,null,"Soggetti",null,"Probabilities"]
[{"$nulls":4},"Functional analysis"]
[{"$nulls":4},"Differential equations"]
[{"$nulls":4},"Probability Theory"]
[{"$nulls":4},"Functional Analysis"]
[{"$nulls":4},"Differential Equations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references & index."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","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. ."]