Commutators of Square Functions Related to Fractional Differentiation for Second-Order Elliptic Operators. (2nd December 2018)

• Record Type: Journal Article
• Authors: Wu, Xiongtao; Tao, Wenyu; Chen, Yanping; Zhu, Kai
• Other Names: Sawano Yoshihiro Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-12-02
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/2624057
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : LetL = - d i v ( A ∇ ) be a second-order divergence form elliptic operator, whereA is an accretiven × n matrix with bounded measurable complex coefficients inR n . In this paper, we mainly establish theL p boundedness for the commutators generated byb ∈ I α ( B M O ) and the square function related to fractional differentiation for second-order elliptic operators.