MAXIMAL AND SINGULAR INTEGRAL OPERATORS AND THEIR COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT
    
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Javanshir J. Hasanov
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Xayyam A. Badalov
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Mathematical Inequalities and Applications (Q1)
Dergi ISSN 1331-4343 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 01-2018
Cilt / Sayı / Sayfa 21 / 1 / 41–61 DOI 10.7153/mia-2018-21-04
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