Fractional Sobolev spaces from a complex analytic viewpoint

DOI10.1016/j.jfa.2020.108651zbMath1460.46018OpenAlexW3026281681MaRDI QIDQ785859

Zhenqiu Zhang, Xiao Yao

Publication date: 12 August 2020

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2020.108651

zbMATH Keywords

fractional Sobolev spacesnonlocal Laplacian operatorinterpolation inequalitiesmeromorphic extension

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• Fractional Differential Equations
• Notes on limits of Sobolev spaces and the continuity of interpolation scales

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