Gaussian \(\mathcal{BV}\) capacity

DOI10.1515/acv-2014-0036zbMath1342.28029OpenAlexW2331980264MaRDI QIDQ267818

Jie Xiao

Publication date: 11 April 2016

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv-2014-0036

zbMATH Keywords

Gaussian BV capacityGaussian BV-spaceGaussian perimeterGaussian volume

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (8)

BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities ⋮ Besov capacity for a class of nonlocal hypoelliptic operators and its applications ⋮ BV capacity and perimeter in abstract Wiener spaces and applications ⋮ BV capacity and Sobolev capacity for the Laguerre operator ⋮ Capacity \& perimeter from \(\alpha\)-Hermite bounded variation ⋮ Characterizations of sets of finite perimeter using the Ornstein-Uhlenbeck semigroup in the Gauss space ⋮ BV capacity for the Schrödinger operator with an inverse-square potential ⋮ Gaussian BV Functions and Gaussian BV Capacity on Stratified Groups

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