Gaussian Capacity Analysis

• Κύριοι συγγραφείς: Liu, Liguang (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Xiao, Jie (http://id.loc.gov/vocabulary/relators/aut), Yang, Dachun (http://id.loc.gov/vocabulary/relators/aut), Yuan, Wen (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Lecture Notes in Mathematics, 2225
• Θέματα: Probabilities.; Functional analysis.; Partial differential equations.; Probability Theory and Stochastic Processes.; Functional Analysis.; Partial Differential Equations.

 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. . 

 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.