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The Hardy space and Fatou’s theorem in inﬁnitely many variables

2024-03-28 11:25

报告人: Guo Kunyu

报告人单位: School of Mathematical Sciences, Fudan University

时间: March 29, 2024, from 2:30 pm to 3:30 pm

地点: Room 314, Building 58, School of Mathematics, Beiyangyuan Campus, Tianjin University

开始时间: March 29, 2024, from 2:30 pm to 3:30 pm

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This is a talk on function spaces Hp in inﬁnitely many variables. We ﬁrst summarize some basic conclusions in a single variable, and then pass to the case of inﬁnitely many variables. We particularly highlight the role ofFatou’s theorem in Hp-spaces. Moreover, we also apply Fatou’s theorem to the study for Dirichlet series and Szego's problem in infinitely many variables.

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