Boundedness and unboundedness results for some maximal operators on functions of bounded variation-Reference-Cited by-同舟云学术

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Boundedness and unboundedness results for some maximal operators on functions of bounded variation

Published:2008-01 Issue:1 Volume:337 Page:130-143
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Aldaz J.M.,Pérez Lázaro J.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. Sobolev Spaces;Adams,2003

2. Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities;Aldaz;Trans. Amer. Math. Soc.,2007

3. Functions of Bounded Variation and Free Discontinuity Problems;Ambrosio,2000

4. Interpolation of Operators;Bennett,1988

5. Is the maximal function of a Lipschitz function continuous?;Buckley;Ann. Acad. Sci. Fenn. Math.,1999

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Variation of the uncentered maximal characteristic function;Revista Matemática Iberoamericana;2021-11-15

2. Regularity and continuity of the multilinear strong maximal operators;Journal de Mathématiques Pures et Appliquées;2020-06

3. Continuity and approximate differentiability of multisublinear fractional maximal functions;Mathematical Inequalities & Applications;2018

4. On the variation of the Hardy-Littlewood maximal function;Annales Academiae Scientiarum Fennicae Mathematica;2015-01

5. On high dimensional maximal operators;Banach Journal of Mathematical Analysis;2013

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