Regularity of maximal functions on Hardy–Sobolev spaces
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Publication:4646260
DOI10.1112/blms.12195zbMath1405.42039arXiv1711.01484OpenAlexW3121153078MaRDI QIDQ4646260
Olli Saari, Mateus Sousa, Carlos Pérez, Tiago Picon
Publication date: 11 January 2019
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.01484
Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (H^p)-spaces (42B30)
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Weak differentiability for fractional maximal functions of general \(L^p\) functions on domains ⋮ Derivative bounds and continuity of maximal commutators ⋮ Endpoint Sobolev bounds for fractional Hardy-Littlewood maximal operators ⋮ Sobolev regularity of polar fractional maximal functions ⋮ Sunrise strategy for the continuity of maximal operators ⋮ Endpoint Sobolev regularity of higher order maximal commutators ⋮ Regularity of fractional maximal functions through Fourier multipliers ⋮ Regularity of Maximal Operators: Recent Progress and Some Open Problems ⋮ BV continuity for the uncentered Hardy-Littlewood maximal operator ⋮ Gradient bounds for radial maximal functions ⋮ Degenerate Poincaré–Sobolev inequalities ⋮ Endpoint Sobolev regularity of the fractional maximal commutators
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