【和山数学论坛第420期】中央大学数学系林钦诚教授学术报告I、II

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报告题目IHardy spaces on open subsets of R^n

二、报告人:林钦诚 教授

三、 间:2024611日上午9:00—11:00

四、地 点:A4-309

报告摘要:The theory of Hardy spaces over $\mathbb R^n$, originated by C. Fefferman and Stein, was generalized several decades ago to the case of subsets of $\mathbb R^n$. The pioneering work of generalization was done by Jonsson, j\"ogren, and Wallin for the case of suitable closed subsets and by Miyachi for the case of proper open subsets. In this article we study Hardy spaces on proper open $\Omega\subset \Bbb R^n$, where $\Omega$ satisfies a doubling condition and $|\Omega|=\infty$. We first establish a variant of the Calder\'on-Zygmund decomposition, and then explore the relationship among Hardy spaces by means of atomic decomposition, radial maximal function, and grand maximal function.


报告题目II:Marcinkiewicz 插定理

二、报告人:林钦诚 教授

三、 间:2024612日上午9:00—11:00

四、地 点:A4-309

报告摘要:简单的工具详细证明一般形式的 Marcinkiewicz 內插定理


报告人简介:林钦诚教授,中央大学数学系特聘教授,美国乔治亚大学 1991 博士。曾任中央大学数学系系主任、88858cc永利官网副院长。主要研究兴趣是调和分析,已发表八十余篇数学论文,分别刊登于 Adv. Math., Math. Ann., Trans. AMS, J. Funct. Anal., J. London Math. Soc. 等期刊。


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