Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail

DOI10.1007/s00526-021-02001-wzbMath1471.35008arXiv2104.09867OpenAlexW3177142173WikidataQ115386587 ScholiaQ115386587MaRDI QIDQ2048695

Po-Lam Yung, Jean Van Schaftingen, Haim Brezis

Publication date: 23 August 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09867

zbMATH Keywords

Lorentz scale

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) Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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