Yazarlar |
Prof. Dr. Fatih DERİNGÖZ
Ahi Evran Üniversitesi, Türkiye |
Prof. Dr. Vagıf GULIYEV
Ahi Evran Üniversitesi, Türkiye |
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 Tarandığı Indeksler | SCI-Expanded |
Makale Dili | İngilizce |
Basım Tarihi | 01-2015 |
Cilt No | 40 |
Sayı | 2 |
Sayfalar | 535 / 549 |
Doi Numarası | 10.5186/aasfm.2015.4029 |
Makale Linki | http://www.acadsci.fi/mathematica/Vol40/vol40pp535-549.pdf |