Gaussian capacity analysis [e-book] / Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan

• Autore: Liu, Liguang
• Descrizione fisica: 1 online resource
• Soggetto topico: Differential equations, Elliptic; Functional analysis; Gaussian distribution; Geometric measure theory; Potential theory
• Classificazione: AMS 31B15
• Altri autori: Xiao, Jieauthor Yang, Dachunauthor Yuan, Wen
• Nota di bibliografia: Includes bibliographical references and index
• Nota di contenuto: 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
• 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
• ISBN: 9783319950402; 3319950398; 9783319950396
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 991003632509707536
• Lo trovi qui: Univ. del Salento
• Localizzazioni e accesso elettronico: http://link.springer.com/10.1007/978-3-319-95040-2
• Serie: Lecture notes in mathematics, 0075-8434 ; 2225