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

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

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...

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Veröffentlicht in:Mathematical Notes 2024-06, Vol.115 (5-6), p.917-930
Hauptverfasser: Zhu, X. J., Tao, S. P.
Format: Artikel
Sprache:eng
Schlagworte:
14/34
639/766/189
639/766/530
639/766/747
Commutators
Estimates
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434624050274