2026京师调和分析论坛(3) (2026.8.5)
会议安排
Zoom会议号：875 364 47231，入会密码：999999
时间 |
报告人 |
报告题目 |
单位 |
20:00-20:45 |
Yoshihiro SAWANO |
A Note on the Carlen–Jauslin–Lieb–Loss Convolution Inequality f≥f∗f and Tiling Morrey Spaces as a Dyadic Toy Model (I) |
Chuo University, Japan |
20:55-21:40 |
A Note on the Carlen–Jauslin–Lieb–Loss Convolution Inequality f≥f∗f and Tiling Morrey Spaces as a Dyadic Toy Model (II) |
会议由以下项目支持:
北京师范大学教育部&科技部“调和分析及其应用创新引智基地”
国家自然科学基金重点项目“相关于球平均、Chirp函数和区域上算子的函数空间公理化实变理论及其应用”
组委会：戴峰, 杨大春, 袁文, 张阳阳
2026年8月1日
报告信息
报告题目: A Note on the Carlen–Jauslin–Lieb–Loss Convolution Inequality f≥f∗f and Tiling Morrey Spaces as a Dyadic Toy Model
报告人: Yoshihiro SAWANO (Chuo University, Japan)
报告摘要: This talk has two main objectives.
First, we examine structural properties of convolution in relation to the underlying Lie group. In particular, we highlight how the geometry and the algebraic structure of the group influence the sharp constants in convolution inequalities, with special attention to the Carlen–Jauslin–Lieb–Loss inequality f≥f∗f.
Second, we introduce a dyadic toy model of Morrey-type spaces, which we call tiling Morrey spaces. This construction can be viewed as a special case of the generalized Morrey spaces initiated by Nakai. We discuss several distinctive features of this class, emphasizing structural properties that distinguish it from classical Morrey spaces and illustrating how the dyadic framework clarifies the underlying phenomena.
