Gaussian capacity analysis
From the cover of the 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.\par This book will be of use to researchers who specialize in potential theory, elliptic differential equations, functional analysis, probability, and geometric measure theory.''\par In the Preface you can read: ``This monograph is a new development of the geometric potential analysis based on the Gaussian space.'''\par The book is very large structured in a Preface, 6 chapters (divided in 19 subchapters), Bibliography and Index:\par Chapter 1. Gaussian Sobolev $p$-space -- Chapter 2. Gaussian Campanato $(p, t)$-class -- Chapter 3. Gaussian $p$-capacity -- Chapter 4. Restriction of Gaussian Sobolev $p$-space -- Chapter 5. Gaussian 1-capacity to Gaussian $\infty$-capacity -- Chapter 6. Gaussian BV-capacity.\par Every chapter starts with a short introduction on the aim of the chapter followed by some subchapters. The Bibliography contains 59 references, the index about 40 items and a list of the used about 50 symbols.\par The book can be recommend all readers, who are interested in this field.
continuous functions with compact support in $\mathbb{R}^n$
scientific article; zbMATH DE number 6908789