Around the Sobolev Inequalities for the Stable Heat Semigroups

We develop a general distributional theory of fractional (an)isotropic Sobolev spaces associated with the non-degenerate symmetric $α$-stable, $α\in (1,2)$, probability measures on $\mathbb{R}^d$.

Publication Details

Journal
ArXiv.org
Published
2025-07-30
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

Around the Sobolev Inequalities for the Stable Heat Semigroups

ArXiv.org
Nonlinear Partial Differential Equations
article

Around the Sobolev Inequalities for the Stable Heat Semigroups

article en

Abstract

We develop a general distributional theory of fractional (an)isotropic Sobolev spaces associated with the non-degenerate symmetric $α$-stable, $α\in (1,2)$, probability measures on $\mathbb{R}^d$.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 40%
Nonlinear Partial Differential Equations
Open Access PDFOpenAlex
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Around the Sobolev Inequalities for the Stable Heat Semigroups · ArXiv.org (2025) | TGRS Research Map | TGRS