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Matematicheskie Zametki, 2024, Volume 115, Issue 6, paper published in the English version journal (Mi mzm14407)  
Papers published in the English version of the journal

Weighted Estimates of the Fractional Type Marcinkiewicz Integral and Its Commutator on Morrey–Guliyev Spaces

X. J. Zhu, S. P. Tao

College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China
Abstract: The aim of this paper is to study weighted estimates of the fractional type Marcinkiewicz integral and its commutator. By producing Guliyev type local pointwise estimates, we prove the boundedness of the fractional type Marcinkiewicz integral on the weighted Morrey–Guliyev spaces. Meanwhile, we also consider the corresponding weighted estimates of the commutators generated by a Lipschitz function and a BMO function.
Keywords: fractional type Marcinkiewicz integral, commutator, weighted global Morrey–Guliyev space.
Funding agency Grant number
National Natural Science Foundation of China 12361018
This work was supported by the National Natural Science Foundation of China (grant no. 12361018).
Received: 07.07.2023
Revised: 08.04.2024
English version:
Mathematical Notes, 2024, Volume 115, Issue 6, Pages 917–930
DOI: https://doi.org/10.1134/S0001434624050274
Bibliographic databases:
Document Type: Article
Language: English
Citation: X. J. Zhu, S. P. Tao, “Weighted Estimates of the Fractional Type Marcinkiewicz Integral and Its Commutator on Morrey–Guliyev Spaces”, Math. Notes, 115:6 (2024), 917–930
Citation in format AMSBIB
\Bibitem{ZhuShu24}
\by X.~J.~Zhu, S.~P.~Tao
\paper Weighted Estimates of the Fractional Type Marcinkiewicz Integral and Its Commutator on Morrey--Guliyev Spaces
\jour Math. Notes
\yr 2024
\vol 115
\issue 6
\pages 917--930
\mathnet{http://mi.mathnet.ru/mzm14407}
\crossref{https://doi.org/10.1134/S0001434624050274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4781280}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85198615444}
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