Convolution inequalities for Besov and Triebel–Lizorkin spaces, and applications to convolution semigroups

DOI10.4064/SM210127-23-3zbMath1484.46042arXiv2101.03886OpenAlexW3213868557MaRDI QIDQ5015422

Franziska Kühn, Rene L. Schilling

Publication date: 8 December 2021

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03886

zbMATH Keywords

convolutionLévy processconvolution semigroupfunction spacecaloric smoothinggeneralized Gauß-Weierstraß semigrouphigher-order heat kernel

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Higher-order parabolic equations (35K25) Jump processes on general state spaces (60J76)

Related Items (3)

Gaussian fluctuations for interacting particle systems with singular kernels ⋮ A pathwise regularization by noise phenomenon for the evolutionary \(p\)-Laplace equation ⋮ Besov wavefront set

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