Gaussian Capacity Analysis

 
 
Springer (Verlag)
  • erschienen am 21. September 2018
 
  • Buch
  • |
  • Softcover
  • |
  • IX, 108 Seiten
978-3-319-95039-6 (ISBN)
 
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.
Book
1st ed. 2018
  • Englisch
  • Cham
  • |
  • Schweiz
Springer International Publishing
  • Für Beruf und Forschung
  • 1 s/w Abbildung
  • |
  • Bibliographie
  • Höhe: 233 mm
  • |
  • Breite: 154 mm
  • |
  • Dicke: 12 mm
  • 210 gr
978-3-319-95039-6 (9783319950396)
10.1007/978-3-319-95040-2
weitere Ausgaben werden ermittelt
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.

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.
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