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 Poincare 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.
- ISBN13 9783319950396
- Publish Date 21 September 2018
- Publish Status Active
- Publish Country CH
- Imprint Springer International Publishing AG
- Edition 1st ed. 2018
- Format Paperback
- Pages 108
- Language English