2026京师调和分析论坛(8) (2026.10.8)
会议安排
Zoom会议号：891 353 39044，入会密码：999999
时间 |
报告人 |
报告题目 |
单位 |
20:00-20:45 |
Ferenc Weisz |
Hardy-Littlewood Theorems for Multi-Dimensional Fourier Transform (I) |
Eotvos Lorand University, 匈牙利 |
20:55-21:40 |
Hardy-Littlewood Theorems for Multi-Dimensional Fourier Transform (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9月30日
报告信息
报告题目: Hardy-Littlewood Theorems for Multi-Dimensional Fourier Transform
报告摘要: In this talk, we obtain the Hardy-Littlewood-type inequalities in the weighted $L_p$ spaces for any $1<p<\infty$ involving the Hardy-Cesáro and Hardy-Bellman operators. We extend these results to product Hardy spaces for $p\le 1$. Moreover, boundedness of Hardy-Cesáro and Hardy-Bellman operators in various function spaces (Lebesgue, Hardy, BMO) is discussed. The Pitt’s inequality and the Hardy-Littlewood-Paley inequalities $\|\widehat{f}\|_{L^{p’,q}} \lesssim \|f\|_{L^{p,q}}$ are also generalized.
