题目：A framework of Besov-Triebel-Lizorkin type spaces based on ball quasi-Banach function sequence spaces
报告人：袁文（北京师范大学）
摘要：In this talk we introduce a concept of ball quasi-Banach function sequence spaces and then a general framework of Besov-Triebel-Lizorkin type spaces based on these sequence spaces. This framework contains various known Besov-Triebel-Lizorkin type spaces as special cases. Under some sharp condition on the boundedness of the discrete Peetre-type operators on the sequence spaces, we establish the 
-transform characterization of these generalized Besov-Triebel-Lizorkin type spaces in the sense of Frazier and Jawerth, which is furtehr used to obtain their various equivalent characterizations via smooth molecules, smooth atoms, maximal functions, Littlewood-Paley functions, and wavelets, as well as the related boundedness of pseudo-differential operators and generalized Calderón-Zygmund operators.
时间: 2026年5月14日（周四）, 15:00-16:00
腾讯会议: 427-912-425 密码: 0514
报告人简介：袁文，北京师范大学教授，国家优秀青年科学基金获得者，研究方向是调和分析，包括函数空间实变理论、算子有界性、插值理论等，至今已发表专著2部、学术论文170余篇，部分科研成果发表在Adv. Math, JMPA, Math. Ann.，Trans. AMS，JFA，CVPDE等国际一流期刊。
