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zbMATH Open
Article . 2018
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Zeitschrift für Analysis und ihre Anwendungen
Article . 2018 . Peer-reviewed
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https://dx.doi.org/10.4171/zaa...
Article
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One-Sided Operators in Grand Variable Exponent Lebesgue Spaces

One-sided operators in grand variable exponent Lebesgue spaces
descriptionPublicationkeyboard_double_arrow_right Article 04 Jul 2018Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Zeitschrift für Analysis und ihre Anwendungen, volume 37, pages 277-297 (issn: 0232-2064, eissn: 1661-4534, Copyright policy )
Authors: Kokilashvili, Vakhtang; Meskhi, Alexander;

doi: 10.4171/zaa/1614

One-Sided Operators in Grand Variable Exponent Lebesgue Spaces

Abstract

The boundedness of one-sided integral operators in grand variable exponent Lebesgue spaces unifying grand Lebesgue spaces and variable exponent Lebesgue spaces are established. The conditions on variable exponent is weaker than the log-Hölder continuity condition.

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Keywords

Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, one-sided Calderón-Zygmund operator, one-sided potentials, one-sided maximal operator

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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