Optimal Hardy inequality for the fractional Laplacian on \(L^p\)

DOI10.1016/j.jfa.2022.109395zbMath1493.46052arXiv2103.06550OpenAlexW4206201081MaRDI QIDQ2076312

Tomasz Jakubowski, Katarzyna Pietruska-Pałuba, Julia Lenczewska, Krzysztof Bogdan

Publication date: 16 February 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.06550

zbMATH Keywords

Hardy inequalityfractional LaplacianMarkovian semigroup

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (4)

Generalized Hardy operators ⋮ Nonlinear nonlocal Douglas identity ⋮ The Douglas formula in \(L^p\) ⋮ Sharp Hardy inequalities for Sobolev–Bregman forms

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