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BOUNDEDNESS OF THE MAXIMAL OPERATOR AND ITS COMMUTATORS ON VANISHING GENERALIZED ORLICZ-MORREY SPACES    
Yazarlar
Prof. Dr. Fatih DERİNGÖZ Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Stefan Samko
Özet
We prove the boundedness of the Hardy-Littlewood maximal operator and their commutators with BMO-coefficients in vanishing generalized Orlicz-Morrey spaces VM Phi,phi(R-n) including weak versions of these spaces. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators involving the Young function Phi(u) and the function phi(x, r) defining the space. No kind of monotonicity condition on phi(x, r) in r is imposed.
Anahtar Kelimeler
Bmo | Commutator | Hardy-Littlewood maximal operator | Singular integral operators | Vanishing generalized Orlicz-Morrey space
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA
Dergi ISSN 1239-629X
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 01-2015
Cilt No 40
Sayı 2
Sayfalar 535 / 549
Doi Numarası 10.5186/aasfm.2015.4029