Some estimates for commutators of Littlewood-Paley g-functions

The aim of this paper is to establish the boundedness of commutator generated by Littlewood-Paley -functions and on non-homogeneous metric measure space. Under assumption that satisfies -weak reverse doubling condition, the author proves that is bounded from Lebesgue spaces into Lebesgue spaces for...

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 888 - 897
Main Author Lu, Guanghui
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 27.08.2021
De Gruyter Poland
Subjects
30L99
42B25
42B35
commutator
Commutators
function
generalized Morrey space
Littlewood-Paley
littlewood-paley g-function
non-homogeneous metric measure space
space RBMO
space rbmo(μ)
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Summary:The aim of this paper is to establish the boundedness of commutator generated by Littlewood-Paley -functions and on non-homogeneous metric measure space. Under assumption that satisfies -weak reverse doubling condition, the author proves that is bounded from Lebesgue spaces into Lebesgue spaces for and also bounded from spaces into spaces . Furthermore, the boundedness of [ ] on Morrey space and on generalized Morrey is obtained.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0051