Real-variable characterizations of Hardy spaces associated with ball-quasi function Banach spaces on spaces of homogeneous type

：贺子毅（北京邮电大学）
：2022-05-19 16:00
：腾讯会议ID：301497640（无密码）

报告人：贺子毅（北京邮电大学）

时  间：5月19日下午16:00

地  点：腾讯会议ID：301497640（无密码）

内容摘要:

In this talk, we introduce the concept of ball quasi-Banach function spaces $Y(\cx)$ on a space $(\cx,\rho,\mu)$ of homogeneous type. Moreover, we introduce the Hardy space $H_Y(\cx)$ associated with $Y(\cx)$ with some additional assumptions. We also establish the real-variable theory of $H_Y(\cx)$, including various maximal function characterizations, atomic and molecular characterizations, various Littlewood--Paley function characterizations. and the finite atomic characterization. As applications, we obtain the boundedness of Calder\'on--Zygmund operator from $H_Y(\cx)$ to $Y(\cx)$, or to $H_Y(\cx)$. The novelty of this work is that these results have a wide range of generality, and that all these results get rid of the reverse doubling condition of $\mu$ and the triangle inequality of $\rho$.

个人简介：

贺子毅，现任北京邮电大学理学院助理教授，2020年博士毕业于北京师范大学数学科学学院，研究方向为调和分析，主要从事函数空间及其应用的研究，在 Appl. Comput. Harmon. Anal.，J. Geom. Anal.， J. Fourier Anal. Appl.和Dissertationes Math.等国内外重要学术期刊上发表论文多篇。

 

联系人：杨东勇