»ã±¨±êÌâ (Title)£º¼«´óËã×ÓÔÚÎÞÏÞͼÉϵÄÓ³ÉäÐÔÖÊ

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»ã±¨¹¦·ò (Time)£º2022Äê7ÔÂ8ÈÕ(ÖÜÎå) 14:00

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»ã±¨ÌáÒª£ºIn this talk we introduce Morrey, H\"{o}lder, Lipschitz, Campanato, Sobolev and Hajlasz-Sobolev spaces on infinite connected graphs. We establish the boundedness of the Hardy-Littlewood maximal operator and its fractional variants on the above function spaces under certain conditions on graphs. The relations between H\"{o}lder spaces and Campanato spaces will be also investigated. In addition, the Sobolev regularity properties of the multilinear fractional maximal operators on the infinite graphs are also discussed. This is joint work with Suying Liu, Xiao Zhang and Huiyun Zhang.