Endpoint Sobolev and BV continuity for maximal operators. II

DOI10.4171/rmi/1115zbMath1429.42021arXiv1710.03546OpenAlexW2971354976MaRDI QIDQ2280526

J. A. Jiménez Madrid

Publication date: 18 December 2019

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03546

zbMATH Keywords

Sobolev spacesfunctions of bounded variationfractional maximal operatordiscrete maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functions of bounded variation, generalizations (26A45) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (21)

Endpoint Sobolev boundedness and continuity of multilinear fractional maximal functions ⋮ Derivative bounds and continuity of maximal commutators ⋮ Endpoint Sobolev bounds for fractional Hardy-Littlewood maximal operators ⋮ Sobolev regularity of polar fractional maximal functions ⋮ Fractional maximal functions and mean oscillation on bounded doubling metric measure spaces ⋮ Sunrise strategy for the continuity of maximal operators ⋮ On the regularity and continuity of the multilinear fractional strong maximal operators ⋮ Regularity of the centered fractional maximal function on radial functions ⋮ On the variation of the discrete maximal operator ⋮ The minimal function of a BV function ⋮ Continuity for the one-dimensional centered Hardy-Littlewood maximal operator at the derivative level ⋮ Endpoint Sobolev regularity of higher order maximal commutators ⋮ Endpoint Sobolev regularity of multilinear maximal operators ⋮ Regularity of commutators of the one-sided Hardy-Littlewood maximal functions ⋮ Vanishing mean oscillation and continuity of rearrangements ⋮ On the continuity of maximal operators of convolution type at the derivative level ⋮ Regularity of Maximal Operators: Recent Progress and Some Open Problems ⋮ Sharp inequalities for maximal operators on finite graphs ⋮ BV continuity for the uncentered Hardy-Littlewood maximal operator ⋮ Gradient bounds for radial maximal functions ⋮ Endpoint Sobolev regularity of the fractional maximal commutators

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