Commutators of Square Functions Related to Fractional Differentiation for Second-Order Elliptic Operators

Xiongtao Wu, Wenyu Tao, Yanping Chen, Kai Zhu
2018 Journal of Function Spaces  
Let L=-div(A∇) be a second-order divergence form elliptic operator, where A is an accretive n×n matrix with bounded measurable complex coefficients in Rn. In this paper, we mainly establish the Lp boundedness for the commutators generated by b∈Iα(BMO) and the square function related to fractional differentiation for second-order elliptic operators.
doi:10.1155/2018/2624057 fatcat:xz4jhpxunvc3jbsyfotb2fynla