Gaussian capacity analysis

DOI10.1007/978-3-319-95040-2zbMath1412.60004OpenAlexW2891211100MaRDI QIDQ721715

Jie Xiao, Wen Yuan, Li Guang Liu, Da Chun Yang

Publication date: 19 July 2018

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-95040-2

zbMATH Keywords

Campanato spacecanonical Gaussian measure densitycontinuous functions with compact support in $\mathbb{R}^n$Gauss space $C^n$Gaussian $p$-capacityGaussian Poincaré $p$-inequalityGaussian volume elementLebesgue volume element

Mathematics Subject Classification ID

Gaussian processes (60G15) Function spaces arising in harmonic analysis (42B35) Geometry and structure of normed linear spaces (46B20) Integral geometry (53C65) Probability theory on linear topological spaces (60B11) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

Related Items (10)

Integral operators on Fock-Sobolev spaces via multipliers on Gauss-Sobolev spaces ⋮ Fractional Hardy-Sobolev \(L^1\)-embedding per capacity-duality ⋮ Besov capacity for a class of nonlocal hypoelliptic operators and its applications ⋮ BV capacity and Sobolev capacity for the Laguerre operator ⋮ The logarithmic Sobolev capacity ⋮ Some weighted estimates on Gaussian measure spaces ⋮ 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 ⋮ Sobolev and variational capacities in the Hermite setting and their applications ⋮ Gaussian BV Functions and Gaussian BV Capacity on Stratified Groups

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