On the boundedness of the fractional maximal operator on global Orlicz-Morrey spaces

The article deals with the global Orlia-Morrey spaces GMΦ,ϕ,θ(Rn). We find sufficient conditions on pairs of functions (ϕ, η) and (Φ, Ψ), which ensure the boundedness of the fractional maximal operator Mα from GMΦ,ϕ,θ(Rn) in GMΨ,η,θ(Rn). It is proved that under some additional conditions on the fun...

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Bibliographic Details
Main Authors: N.А. Bokayev, А.А. Khairkulova
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2021-03-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/412