报告题目 (Title)：极大算子在无限图上的映射性质

报告人 (Speaker)：刘风 教授（山东科技大学）

报告时间 (Time)：2022年7月8日(周五) 14:00

报告地点 (Place)：线上腾讯会议，会议 ID：472-592-154

邀请人(Inviter)：赵发友

主办部门：理学院 数学系

报告摘要：In 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.