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Boundedness of the fractional maximal operator in local Morrey-type spaces    
Yazarlar
V. I. Burenkov
A. Gogatishvili
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
R. Ch. Mustafayev
Özet
The problem of boundedness of the fractional maximal operator M(alpha), 0 <= alpha < n, in general local Morrey-type spaces is reduced to the problem of boundedness of the supremal operator in weighted L(p)-spaces on the cone of non-negative non-decreasing functions. This allows obtaining sharp sufficient conditions for boundedness for all admissible values of the parameters, which, for a certain range of the parameters wider than known before, coincide with the necessary ones.
Anahtar Kelimeler
Fractional maximal operator | Local and global morrey-type spaces | Supremal operator on the cone of monotonic functions
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
Dergi ISSN 1747-6933
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 01-2010
Cilt No 55
Sayı 8
Sayfalar 739 / 758
Doi Numarası 10.1080/17476930903394697