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Boundedness of the fractional maximal operator in local Morrey-type spaces    
Yazarlar
V. I. Burenkov
A. Gogatishvili
 Vagıf GULIYEV 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