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) |
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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.
