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Preprint . 2024
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Article . 2024
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Sharp maximal function estimates for multilinear pseudo‐differential operators of type (0,0)

Sharp maximal function estimates for multilinear pseudo-differential operators of type \((0,0)\)
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 28 Jan 2025Embargo end date: 01 May 2024 English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 57, pages 854-870 (issn: 0024-6093, eissn: 1469-2120, Copyright policy )
Authors: Bae Jun Park; Naohito Tomita;

doi: 10.1112/blms.70003 , 10.48550/arxiv.2405.02093

arXiv: 2405.02093

Sharp maximal function estimates for multilinear pseudo‐differential operators of type (0,0)

Abstract

AbstractIn this paper, we study sharp maximal function estimates for multilinear pseudo‐differential operators. Our target is operators of type (0,0) for which a differentiation does not make any decay of the associated symbol. Analogous results for operators of type , , appeared in an earlier work of the authors [17], but a different approach is given for .

Related Organizations
Keywords

Harmonic analysis and PDEs, Mathematics - Analysis of PDEs, Maximal functions, Littlewood-Paley theory, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Pseudodifferential operators as generalizations of partial differential operators, Pseudodifferential operators, Analysis of PDEs (math.AP)

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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!
3
Top 10%
Average
Average
Green