Boundedness for the Calderon commutator with rough kernels of GS type-China University of Mining & Technology-Beijing-China University of Mining & Technology-Beijing

Boundedness for the Calderon commutator with rough kernels of GS type

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speaker: Xiangxing Tao, Zhejiang University of Science and Technology, Professor

time: 2024.6.4, 10:00 -11:00AM

place: Yifu Building 1537

Abstract:

Let Omega be homogeneous of degree zero, integrable on the unit sphere, and have vanishing moment of order k, and let T_{\Omega, a, k} be the d-dimensional Calderon commutator with Lipschitz function a. In this talk, we will discuss the Lp boundedness for the above Calderon commutators with rough kernel of the Grafakos-Stefanov type. We will also investigate the boundedness on Triebel-Lizorkin spaces for the d-dimensional Calderon commutator with rough kernels of GS type.

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