Some Recent Progress on Endpoint Spaces Associated to Operators
主 题: Some Recent Progress on Endpoint Spaces Associated to Operators
报告人: Liangchuan Wu (BICMR)
时 间: 2017-11-01 10:00 - 2017-11-01 11:30
地 点: Room 29, Quan Zhai, BICMR
\n\tThis talk consists of two main parts. Firstly we will give a brief overview of the recent progress concerning endpoint spaces (Hardy, BMO) associated to operators. We mainly focus on a series of characterizations of endpoint spaces and their applications.\n<\/p>\n
\n\tIn the second part, we will study the endpoint space of functions with bounded square functions associated to a self-adjoint operator. We establish some exponential-square integrability and apply it to obtain several estimates such as two-weighted estimates for square functions, eigenvalue estimates for Schrodinger operators on Lipschitz domains. This part is based on a joint work with P. Chen, X.T. Duong and L.X. Yan.\n<\/p>\n
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