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Boundedness of rough fractional multilinear integral operators on generalized Morrey spaces       
Yazarlar
Prof. Dr. Ali AKBULUT Prof. Dr. Ali AKBULUT
Ahi Evran Üniversitesi, Türkiye
Vugar H Hamzayev
Zaman V Safarov
Özet
We consider the boundedness of fractional multilinear integral operators with rough
kernels T-A,T-m,(omega alpha) on the generalized Morrey spaces M-p,M-phi. We find the sufficient conditions on the pair (phi 1,phi 2), which ensures the boundedness of the operators T-A,T-m ,(omega alpha) from Mp,phi 1 to Mp,phi 2 for 1 < p < infinity. In all cases the conditions for the boundedness of the operator T-A,T-m (omega,alpha) is given in terms of Zygmund-type integral inequalities on (phi 1,phi 2), which do not make any assumption on the monotonicity of phi 1(x,r), phi 2(x,r) in r.
Anahtar Kelimeler
BMO | fractional multilinear integral | generalized Morrey space | rough kernel
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı JOURNAL OF INEQUALITIES AND APPLICATIONS
Dergi ISSN 1029-242X
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 07-2015
Cilt No 2015
Sayı 1
Doi Numarası 10.1186/s13660-015-0751-z