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

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Atıf İçin Kopyala

Aydogdu A., Aykol Kocakuşaklı C.

Baku Mathematical Journal, cilt.2, sa.1, ss.113-121, 2023 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2 Sayı: 1
• Basım Tarihi: 2023
• Doi Numarası: 10.32010/j.bmj.2023.10
• Dergi Adı: Baku Mathematical Journal
• Sayfa Sayıları: ss.113-121
• Ankara Üniversitesi Adresli: Evet

Özet

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).