New directions in harmonic analysis on \(L^1\)
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Publication:1985804
DOI10.1016/j.na.2019.111685zbMath1437.42037arXiv1903.09292OpenAlexW2990822432MaRDI QIDQ1985804
Publication date: 7 April 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.09292
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Harmonic analysis and PDEs (42B37)
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Leibniz rules and Gauss-Green formulas in distributional fractional spaces, Fractional Hardy-Sobolev \(L^1\)-embedding per capacity-duality, Failure of the local chain rule for the fractional variation, A trace inequality for solenoidal charges, Endpoint \(L^1\) estimates for Hodge systems, The fractional variation and the precise representative of \(BV^{\alpha,p}\) functions
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