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Proceedings of the Indian Academy of Sciences. Mathematical sciences
Article . 2003 . Peer-reviewed
License: Springer TDM
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zbMATH Open
Article . 2003
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https://dx.doi.org/10.48550/ar...
Article . 2003
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Triebel-lizorkin space estimates for multilinear operators of sublinear operators

Triebel-Lizorkin space estimates for multilinear operators of sublinear operators
Authors: Liu, Lanzhe;

Triebel-lizorkin space estimates for multilinear operators of sublinear operators

Abstract

In this paper, we obtain the continuity for some multilinear operators related to certain non-convolution operators on the Triebel--Lizorkin space. The operators include Littlewood--Paley operator and Marcinkiewicz operator.

15 pages, no figures, no tables

Related Organizations
Keywords

Maximal functions, Littlewood-Paley theory, Triebel-Lizorkin spaces, Littlewood-Paley operator, Mathematics - Classical Analysis and ODEs, Hardy-Littlewood maximal function, Multilinear and polynomial operators, Marcinkiewicz operator, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 42B20, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, 42B25, 42B20; 42B25, multilinear operators

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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!
7
Average
Top 10%
Average
Green
gold