On the boundedness of the fractional maximal operator on global Orlicz-Morrey spaces
Бөлшек максималды оператордың Орлич-Морри кеңiстiгiндегi шекарасы
Об ограниченности дробного максимального оператора в глобальных пространствах Орлича-Морри
Bokayev N.А. Khairkulova A.A.
2021E.A.Buketov Karaganda State University Publish House
Bulletin of the Karaganda University. Mathematics Series
2021#101Issue 117 - 24 pp.
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 function ϕ, the conditions obtained are also necessary. In the proof, the boundedness condition is essentially used, the maximal Hardy-Littlewood functions and the estimate of the norm of the characteristic function in global Orlicz-Morrey spaces are used.
Morrey type space , Orlicz space , the fractional maximal functions , the global Orlicz-Morrey spaces
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L.N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan
L.N. Gumilyov Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
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