Title：Some boundedness for Calderon type commutators with rough kernels
Speaker：Yanping Chen （University of Science and Technology Beijing）
Time：10:00-11:00, June27
Location：Room 201，Ming De Building
Abstract：The main purpose of this talk is two-fold. Firstly, I will discuss that sufficient condition for the commutator with fractional differentiation and new characterizations of BMO-Sobolev spaces, and necessary condition for the commutator with fractional differentiation. At the same time, the theory can be applied to the Hilbert and Riesz transforms. Moreover, I will also introduce that boundedness for the commutator with fractional differentiation for second-order elliptic operators. Finally, I will give the gradient estimates for commutators of square roots of elliptic operators with complex bounded measurable coefficients.
