Gaussian Capacity Analysis - Jie Xiao,Wen Yuan,Liguang Liu,Dachun Yang
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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 theor ... Full description
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Description
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.
More Information
| Author | Jie Xiao, Wen Yuan, Liguang Liu, Dachun Yang |
|---|---|
| Publisher | Springer Nature Switzerland |
| Release year | 2018 |
| Cover type | Softcover |
| EAN | 9783319950396 |