Boundedness of the anisotropic fractional maximal operator in total anisotropic Morrey spaces

Guliyev, Vagif; Isayev, Fatai; ŞERBETÇİ, AYHAN

doi:10.30546/2617-7900.44.1.2024.41

Boundedness of the anisotropic fractional maximal operator in total anisotropic Morrey spaces

Guliyev V. S., Isayev F. A., ŞERBETÇİ A.

Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.44, no.1, pp.41-50, 2024 (Scopus)

Publication Type: Article / Article
Volume: 44 Issue: 1
Publication Date: 2024
Doi Number: 10.30546/2617-7900.44.1.2024.41
Journal Name: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Journal Indexes: Scopus
Page Numbers: pp.41-50
Keywords: anisotropic fractional maximal function, Total anisotropic Morrey spaces
Open Archive Collection: AVESIS Open Access Collection
Ankara University Affiliated: Yes

Abstract

We give necessary and sufficient conditions for the boundedness of the anisotropic fractional maximal operator Mdα in total anisotropic Morrey spaces Ldp,λ,µ(Rn).