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Jiuzhang Forum: Lecture 422

Invited by Prof. Jun Geng and Prof. Sibei Yang of School of Mathematics and Statistics, Prof.Dachun Yang from Beijing Normal University will give a lecture online.

Title: Real-Variable Theory of Function Spaces Associated with Ball Banach Function Spaces

Time: 9:00 a.m.,Jul. 17nd, 2021

Conference ID: 442 825 877( Tencent Conference)

Abstract: The notion of ball Quasi-Banach function spaces was introduced in 2017 by Y. Sawano, K.-P. Ho, D. Yang and S. Yang. It is well known that some well-known function spaces, such as Morrey spaces, weighted Lebesgue spaces, mixed-norm Lebesgue spaces, and Orlicz-slice spaces, are ball Quasi-Banach function spaces, but not Quasi-Banach function spaces. In this talk, we will introduce some recent developments of the real-variable theory of function spaces associated with ball Banach function spaces, including the boundedness and the compactness of commutators on ball Banach function spaces, (weak) Hardy spaces associated with ball Banach function spaces, and Sobolev spaces associated with ball Banach function spaces.

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