Sobolev and variational capacities in the Hermite setting and their applications
type: Item
instance of: scholarly article
title: Sobolev and variational capacities in the Hermite setting and their applications
zbMATH Open document ID: 1504.35143
author: Jizheng Huang
author: Pengtao Li
author: Yu Liu
published in: Mediterranean Journal of Mathematics
publication date: 2022-10-28T00:00:00Z
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 31B15
zbMATH DE Number: 7609398
zbMATH Keywords: Hermite operator
zbMATH Keywords: Sobolev space
zbMATH Keywords: functional capacity
zbMATH Keywords: Sobolev inequality
MaRDI profile type: Publication
full work available at URL: s00009-022-02177-1
OpenAlex ID: W4304693621
cites work: Weighted Capacity and the Choquet Integral
cites work: Choquet integrals in potential theory
cites work: Strong type estimates for homogeneous Besov capacities
cites work: Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for Schrödinger operators with nonnegative potentials
cites work: Real interpolation of Sobolev spaces associated to a weight
cites work: Lp boundedness of Riesz transform related to Schroedinger operators on a manifold
cites work: Sobolev spaces associated to the harmonic oscillator
cites work: Q3626726
cites work: Classes of Carleson-type measures generated by capacities
cites work: Q5648620
cites work: p-harmonic obstacle problems. III: Boundary regularity
cites work: Comparisons of relative BV-capacities and Sobolev capacity in metric spaces
cites work: \(L^p\)-dimension free boundedness for Riesz transforms associated to Hermite functions
cites work: Q5230003
cites work: The boundedness of Riesz transforms for Hermite expansions on the Hardy spaces
cites work: Capacity \& perimeter from \(\alpha\)-Hermite bounded variation
cites work: Q5479930
cites work: Gaussian capacity analysis
cites work: Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \)
cites work: Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings
cites work: Diagonalization of Weyl transforms and heat equations for time-dependent Hermite operators
cites work: An Introduction to Partial Differential Equations
cites work: On the boundary convergence of solutions to the Hermite–Schrödinger equation
cites work: Poisson integrals and Riesz transforms for Hermite function expansions with weights.
cites work: Regularity theory for the fractional harmonic oscillator
cites work: Riesz transforms and the wave equation for the hermite operator
cites work: Q3137751
cites work: The heat equation for the Hermite operator on the Heisenberg group
cites work: The sharp Sobolev and isoperimetric inequalities split twice
cites work: Some results on functional capacity and their applications to P-Laplacian problems involving measure data
DOI: 10.1007/S00009-022-02177-1
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description: scientific article; zbMATH DE number 7609398