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Matematicheskie Zametki, 2022, Volume 112, Issue 1, Pages 48–54
DOI: https://doi.org/10.4213/mzm13605 (Mi mzm13605) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Note on the Boundedness of Iterated Commutators of Multilinear Operators

Dinghuai Wang

School of Mathematics and Statistics, Anhui Normal University
Full-text PDF (439 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm13605
Abstract: We show that the symbol function belonging to $BMO$ space is not a necessary condition for the boundedness of the iterated commutator acting on a product of Lebesgue spaces.
Keywords: BMO function, boundedness, commutator, Hardy–Littlewood maximal function, Lebesgue space.
Funding agency Grant number
National Natural Science Foundation of China 12101010
12071223
11971237
Natural Science Foundation of Anhui Province 2108085QA19
This project is partially supported by the National Natural Science Foundation of China under grants 12101010, 12071223, 11971237 and by the Natural Science Foundation of Anhui Province under grant 2108085QA19.
Received: 17.11.2021
Revised: 17.01.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 1, Pages 59–64
DOI: https://doi.org/10.1134/S0001434622070057
Bibliographic databases:
Document Type: Article
UDC: 515.122.4
Language: Russian
Citation: Dinghuai Wang, “A Note on the Boundedness of Iterated Commutators of Multilinear Operators”, Mat. Zametki, 112:1 (2022), 48–54; Math. Notes, 112:1 (2022), 59–64
Citation in format AMSBIB
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\by Dinghuai Wang
\paper A Note on the Boundedness of Iterated Commutators of Multilinear Operators
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\vol 112
\issue 1
\pages 48--54
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\crossref{https://doi.org/10.4213/mzm13605}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461327}
\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 1
\pages 59--64
\crossref{https://doi.org/10.1134/S0001434622070057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85136634691}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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