On the Multilinear Singular Integrals and Commutators in the Weighted Amalgam Spaces. (4th May 2014)

• Record Type: Journal Article
• Authors: Liu, Feng; Wu, Huoxiong; Zhang, Daiqing
• Other Names: Sawano Yoshihiro Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2014(2014)
• Publication Date: 2014-05-04
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2014/686017
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper is concerned with the norm estimates for the multilinear singular integral operators and their commutators formed by BMO functions on the weighted amalgam spaces L v w → q, L p α ℝ n . Some criterions of boundedness for such operators in L v w → q, L p α ℝ n are given. As applications, the norm inequalities for the multilinear Calderón-Zygmund operators and multilinear singular integrals with nonsmooth kernels as well as the corresponding commutators on L v w → q, L p α ℝ n are obtained.