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 g...

Πίνακας περιεχομένων:

• 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.