Boundedness of the fractional maximal operator in local Morrey-type spaces
    
Yazarlar (4)
V. I. Burenkov
Università Degli Studi Di Padova, İtalya
A. Gogatishvili
Academy Of Sciences Of The Czech Republic, Çek Cumhuriyeti
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
R. Ch. Mustafayev
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Complex Variables and Elliptic Equations (Q3)
Dergi ISSN 1747-6933 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 01-2010
Cilt / Sayı / Sayfa 55 / 8 / 739–758 DOI 10.1080/17476930903394697
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