Gaussian Capacity Analysis
Nonfiction, Science & Nature, Mathematics, Functional Analysis, Statistics
| Author: | Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan | ISBN: | 9783319950402 |
| Publisher: | Springer International Publishing | Publication: | September 20, 2018 |
| Imprint: | Springer | Language: | English |
| Author: | Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan |
| ISBN: | 9783319950402 |
| Publisher: | Springer International Publishing |
| Publication: | September 20, 2018 |
| Imprint: | Springer |
| Language: | English |
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.
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.
