数学学科Seminar第2262讲 极大算子在无限图上的映射性质

创建时间:  2022/07/04  龚惠英   浏览次数:   返回

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.

上一条:数学学科Seminar第2263讲 关于可压缩Navier-Stokes方程剪切粘性消失极限的一些进展

下一条:数学学科Seminar第2260讲 某些极大算子在有限图上的最佳常数


数学学科Seminar第2262讲 极大算子在无限图上的映射性质

创建时间:  2022/07/04  龚惠英   浏览次数:   返回

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.

上一条:数学学科Seminar第2263讲 关于可压缩Navier-Stokes方程剪切粘性消失极限的一些进展

下一条:数学学科Seminar第2260讲 某些极大算子在有限图上的最佳常数