Overview
- The first book presenting a systematic study of the Sovolev/BV capacity theory in the Gaussian setting
- Provides fundamental material for a cross-disciplinary field
- Provides interesting applications in the geometry of Gaussian space
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2225)
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Table of contents (6 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Gaussian Capacity Analysis
Authors: Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-95040-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Softcover ISBN: 978-3-319-95039-6Published: 21 September 2018
eBook ISBN: 978-3-319-95040-2Published: 20 September 2018
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: IX, 108
Number of Illustrations: 1 b/w illustrations
Topics: Probability Theory and Stochastic Processes, Functional Analysis, Partial Differential Equations