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2019 | OriginalPaper | Buchkapitel

3. Regularity of Maximal Operators: Recent Progress and Some Open Problems

verfasst von : Emanuel Carneiro

Erschienen in: New Trends in Applied Harmonic Analysis, Volume 2

Verlag: Springer International Publishing

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Abstract

This is an expository paper on the regularity theory of maximal operators, when these act on Sobolev and BV functions, with a special focus on some of the current open problems in the topic. Overall, a list of fifteen research problems is presented. It summarizes the contents of a talk delivered by the author in the CIMPA 2017 Research School—Harmonic Analysis, Geometric Measure Theory, and Applications, in Buenos Aires, Argentina.

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Vorheriges Kapitel Hardy Spaces with Variable Exponents

Nächstes Kapitel Gabor Frames: Characterizations and Coarse Structure

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Titel: Regularity of Maximal Operators: Recent Progress and Some Open Problems
verfasst von: Emanuel Carneiro
Verlag: Springer International Publishing
Buch: New Trends in Applied Harmonic Analysis, Volume 2
Print ISBN: 978-3-030-32352-3

Electronic ISBN: 978-3-030-32353-0

Copyright-Jahr: 2019
DOI: https://doi.org/10.1007/978-3-030-32353-0_3

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