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The Two-Weighted Inequalities for Sublinear Operators Generated by B Singular Integrals in Weighted Lebesgue Spaces   
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Fatai A. Isayev
Özet
In this paper, the authors establish several general theorems for the boundedness of sublinear operators (B sublinear operators) satisfies the condition (1.2), generated by B singular integrals on a weighted Lebesgue spaces , where . The condition (1.2) are satisfied by many important operators in analysis, including B maximal operator and B singular integral operators. Sufficient conditions on weighted functions omega and omega (1) are given so that B sublinear operators satisfies the condition (1.2) are bounded from to .
Anahtar Kelimeler
B maximal operator | B singular integral operator | B sublinear operator | Two-weighted inequality | Weighted Lebesgue space
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı ACTA APPLICANDAE MATHEMATICAE
Dergi ISSN 0167-8019
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 10-2013
Cilt No 127
Sayı 1
Sayfalar 1 / 16
Doi Numarası 10.1007/s10440-012-9789-9