Gaussian Capacity Analysis

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. 

List of contents

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.

Product details

• Authors: Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 21.09.2018
• EAN: 9783319950396
• ISBN: 978-3-31-995039-6
• No. of pages: 108
• Dimensions: 156 mm x 9 mm x 236 mm
• Weight: 196 g
• Illustrations: IX, 108 p. 1 illus.
• Series: Lecture Notes in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; Analysis, B, Differentialrechnung und -gleichungen, Mathematics and Statistics, Functional Analysis, Probability Theory and Stochastic Processes, Partial Differential Equations, Differential calculus & equations, Probabilities, Stochastics, Probability Theory, Functional analysis & transforms