Lecture Notes in Mathematics
- 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
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- About this book
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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.
- Table of contents (6 chapters)
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Gaussian Sobolev p-Space
Pages 1-18
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Gaussian Campanato (p, κ)-Class
Pages 19-35
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Gaussian p-Capacity
Pages 37-53
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Restriction of Gaussian Sobolev p-Space
Pages 55-64
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Gaussian 1-Capacity to Gaussian ∞-Capacity
Pages 65-82
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Gaussian Capacity Analysis
- Authors
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- Liguang Liu
- Jie Xiao
- Dachun Yang
- Wen Yuan
- Series Title
- Lecture Notes in Mathematics
- Series Volume
- 2225
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-319-95040-2
- DOI
- 10.1007/978-3-319-95040-2
- Softcover ISBN
- 978-3-319-95039-6
- Series ISSN
- 0075-8434
- Edition Number
- 1
- Number of Pages
- IX, 108
- Number of Illustrations
- 1 b/w illustrations
- Topics
