Two-weighted inequalities for maximal commutators in generalized weighted Morrey spaces on spaces of homogeneous type
DOI:
https://doi.org/10.61383/ejam.20231235Keywords:
Maximal operator, commutator, generalized weighted Morrey space, spaces of homogeneous typeAbstract
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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Copyright (c) 2023 Ayşenur Aydoğdu; Canay Aykol (Corresponding Author); Javanshir J. Hasanov
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