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

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Aydogdu A., Aykol Kocakuşaklı C.

Baku Mathematical Journal, vol.2, no.1, pp.113-121, 2023 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 2 Issue: 1
• Publication Date: 2023
• Doi Number: 10.32010/j.bmj.2023.10
• Journal Name: Baku Mathematical Journal
• Page Numbers: pp.113-121
• Ankara University Affiliated: Yes

Abstract

In this paper we give a characterization of two-weighted inequalities for maximal operators in generalized weighted Morrey spaces on spaces of homogeneous type Mp,φω (X). We prove the boundedness of maximal operator M from the spaces Mp,φ1ωδ 1(X)to the spaces Mp,φ2ωδ2(X), where 1 < p < ∞, 0 < δ < 1 and (ω1, ω2) ∈ Aep(X).