»ã±¨±êÌâ (Title)£ºÅ·ÊÏ¿Õ¼äÖеĿª×Ó¼¯ÉϵĹþ´ú¿Õ¼ä

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»ã±¨¹¦·ò (Time)£º2024Äê8ÔÂ2ÈÕ£¨ÖÜÎ壩8:30-11:30

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»ã±¨ÌáÒª£ºThe 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, Sj\"ogren, and Wallin for the case of suitable closed subsets and by Miyachi for the case of proper open subsets. In this talk we study Hardy spaces on proper open $\Omega\subset \Bbb R^n$, where $\Omega$ satisfies a doubling condition and $|\Omega|=\infty$. We explore the relationship among Hardy spaces by means of atomic decomposition, radial maximal function, and grand maximal function.