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MAXIMAL AND SINGULAR INTEGRAL OPERATORS AND THEIR COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT    
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Javanshir J. Hasanov
Xayyam A. Badalov
Özet
We consider the generalized weighted Morrey spaces M-omega(p(.),phi) (Omega) with variable exponent p(x) and a general function phi(x, r) defining the Morrey-type norm. In case of unbounded sets Omega subset of R-n we prove the boundedness of the Hardy-Littlewood maximal operator and Calderon-Zygmund singular operators with standard kernel, in such spaces. We also prove the boundedness of the commutators of maximal operator and Calderon-Zygmund singular operators in the generalized weighted Morrey spaces with variable exponent
Anahtar Kelimeler
BMO space | Generalized weighted Morrey space with variable exponent | Maximal operator | Singular integral operators
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı MATHEMATICAL INEQUALITIES & APPLICATIONS
Dergi ISSN 1331-4343
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 01-2018
Cilt No 21
Sayı 1
Sayfalar 41 / 61
Doi Numarası 10.7153/mia-2018-21-04