Toeplitz Type Operators Associated with Generalized Calderón-Zygmund Operator on Weighted Morrey Spaces. (6th April 2016)

• Record Type: Journal Article
• Authors: Ren, Bijun; Zhang, Enbin
• Other Names: Ragusa Maria Alessandra Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-04-06
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/8167392
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Let T 1 be a generalized Calderón-Zygmund operator or ± I (the identity operator), let T 2 and T 4 be the linear operators, and let T 3 = ± I . Denote the Toeplitz type operator by T b = T 1 M b I α T 2 + T 3 I α M b T 4, where M b f = b f and I α is the fractional integral operator. In this paper, we investigate the boundedness of the operator T b on weighted Morrey space when b belongs to the weighted BMO spaces.