邀请人：罗率兵

报告人： 陈少林 教授

报告题目：Characterizations of Hardy spaces and composition operators in bounded symmetric domains

报告时间：2025年8月3日16:30-17:30

地点：老虎机 425

摘要：The primary objective of this talk is to develop new methods for studying Hardy spaces and composition operators associated with holomorphic and pluriharmonic functions in bounded symmetric domains. First, we establish the completeness of the pluriharmonic Hardy space and prove a Littlewood-Paley type theorem for holomorphic functions in these domains. Next, by introducing weighted techniques, we derive a precise relationship between the integral means of pluriharmonic (or holomorphic) functions and those of their derivatives. Finally, leveraging these weights and the Littlewood-Paley theorem, we investigate composition operators from planar harmonic Bloch-type spaces into pluriharmonic Hardy spaces in bounded symmetric domains.

报告人简介：陈少林，衡阳师范老虎机 教授，湖南省杰出青年基金获得者，“智能信息处理与应用”湖南省重点实验室常务副主任。曾在印度马德拉斯理工老虎机 、印度拉马努金数学研究所、芬兰阿尔托大学、芬兰赫尔辛基大学和芬兰图尔库大学做访问学者。近几年指导学生参加全国大学生数学竞赛（数学专业组）获全国二等奖和省级一等奖共20余人，曾获湖南省大学生数学竞赛优秀指导老师奖。研究兴趣主要是几何函数理论和函数空间理论。已在《Sci. China Math.》《Indiana Univ. Math. J.》《J. Func. Anal.》《J. Anal. Math.》《Math. Z.》《Isr. J. Math.》《J. Geom. Anal.》等国内外数学杂志发表学术论文多篇。主持国家自然科学基金项目3项。曾获湖南省自然科学奖和湖南省优秀博士学位论文奖。

欢迎参加。