Gaussian Capacity Analysis

1. Auflage 2018
ISBN: 978-3-319-95039-6
Verlag: Springer International Publishing

Buch, Englisch, Band 2225, 108 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 195 g

Reihe: Lecture Notes in Mathematics

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. 

Zielgruppe

Research

Autoren/Hrsg.

Liu, Liguang

Yuan, Wen

Xiao, Jie

Yang, Dachun

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Gaussian Sobolev p-space.- Gaussian Campanato (p, k)-class.- Gaussian p-capacity.- Restriction of Gaussian Sobolev p-space.- Gaussian 1-capacity to Gaussian 8-capacity.- Gaussian BV-capacity.