The Two-Weighted Inequalities for Sublinear Operators Generated by B Singular Integrals in Weighted Lebesgue Spaces
   
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Fatai A. Isayev Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Acta Applicandae Mathematicae (Q3)
Dergi ISSN 0167-8019 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 10-2013
Cilt / Sayı / Sayfa 127 / 1 / 1–16 DOI 10.1007/s10440-012-9789-9
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