Characterization of fractional Sobolev-Poincaré and (localized) Hardy inequalities
DOI10.1007/s12220-023-01293-yzbMath1525.46021arXiv2204.06636OpenAlexW4367368365MaRDI QIDQ6040533
Publication date: 17 May 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.06636
maximal functioncapacityfractional Hardy inequalityfat setpointwise Hardy inequalityfractional Sobolev-Poincaré inequalityquasi continuousfractional \((q, p)\)-Poincaré inequality
Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
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