Two-weighted inequalities for maximal commutators in generalized weighted Morrey spaces on spaces of homogeneous type

Authors

Ayşenur Aydoğdu Department of Mathematics, Ankara University, Ankara, Turkey
Canay Aykol Department of Mathematics, Ankara University, Ankara, Turkey
Javanshir J. Hasanov Azerbaijan State Oil and Industry University, Baku, Azerbaijan

https://doi.org/10.61383/ejam.20231235

Keywords:

Maximal operator, commutator, generalized weighted Morrey space, spaces of homogeneous type

Abstract

In this paper we give a characterization of two-weighted inequalities for maximal commutators in generalized weighted Morrey spaces on spaces of homogeneous type $\mathcal{M}_{\omega }^{p,\varphi }(X)$. We prove the boundedness of maximal commutators $[M,b]$ from the spaces $\mathcal{M}_{\omega _{1}^{\delta }}^{p,\varphi _{1}}(X)$ to the spaces $\mathcal{M}_{\omega _{2}^{\delta }}^{p,\varphi _{2}}(X)$, where $1<p<\infty $, $0<\delta <1$ and $(\omega _{1},\omega _{2})\in \widetilde{A}_{p}(X)$.

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Published

2023 Sep 09

How to Cite

[1]

A. Aydoğdu, C. Aykol, and J. J. Hasanov, “Two-weighted inequalities for maximal commutators in generalized weighted Morrey spaces on spaces of homogeneous type”, Electron. J. Appl. Math., vol. 1, no. 2, pp. 18–28, Sep. 2023.