主题: Characterizations of Hardy spaces and composition operators in bounded symmetric domains
时间：10月16号（周五）13:00-14:30
地点：15号楼518室
主持人：符曦 老师
报告人简介：
陈少林，博士，广西师范大学教授。研究方向：几何函数理论及其应用，成功攻克该领域公开问题3项。曾先后赴印度马德拉斯理工学院、拉马努金数学研究所，以及芬兰赫尔辛基大学、阿尔托大学和图尔库大学进行学术访问。在《Sci. China, Math.》《Adv. Math.》《J. Funct. Anal.》《Indiana Univ. Math. J.》《Math. Z.》《J. Anal. Math.》《Israel J. Math.》等国内外数学期刊发表学术论文50余篇。曾荣获湖南省优秀博士学位论文奖，以及湖南省自然科学奖二等奖、三等奖各1项。主持多项科研项目，其中包括国家自然科学基金项目4项、科技部项目1项及中国博士后科学基金项目(一等资助)等。
讲座简介：The main purpose of this talk is to discuss how to develop methods for investigating Hardy spaces and composition operators of holomorphic and pluriharmonic functions in bounded symmetric domains. We first prove the completeness of the pluriharmonic Hardy space and establish a Littlewood–Paley type theorem for holomorphic functions in bounded symmetric domains. Then, using weights, we provide a close relationship between the integral means of pluriharmonic (holomorphic) functions and those of their derivatives in bounded symmetric domains. In addition, using the weights and the Littlewood–Paley type theorem, we discuss the composition operators from planar harmonic Bloch type spaces to pluriharmonic Hardy spaces in bounded symmetric domains. The obtained results improve and extend the corresponding known results.
