Gaussian Capacity Analysis

Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan (Autoren)

Buch | Softcover

IX, 108 Seiten

2018
Springer International Publishing (Verlag)
978-3-319-95039-6 (ISBN)

Infos

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. 

Inhalt

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.

Produkt-Details

• Erscheinungsdatum: 22.09.2018
• Reihe/Serie: Lecture Notes in Mathematics
• Zusatzinfo: IX, 108 p. 1 illus.
• Verlagsort: Cham
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 195 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Schlagworte: Gaussian BV Function • Gaussian Isoperimetry • Gaussian measure • Gaussian Sobolev Function • Partial differential equations • Poincaré Inequality
• ISBN-10: 3-319-95039-8 / 3319950398
• ISBN-13: 978-3-319-95039-6 / 9783319950396
• Zustand: Neuware