报告题目:Product Hardy, BMO spaces and iterated commutators associated with Bessel Schrödinger operators
报告摘要:In this talk we discuss the product Hardy spaces associated with the Bessel Schrödinger operator introduced by Muckenhoupt and Stein, and provide equivalent characterizations in terms of the Bessel Riesz transforms, non-tangential and radial maximal functions, and Littlewood--Paley g-functions and area functions. Based on the characterizations of these product Hardy spaces, we study the boundedness of the iterated commutator of the Bessel Riesz transforms and functions in the product BMO space associated with Bessel Schrödinger operator. We show that this iterated commutator is bounded above, but does not have a lower bound. This is a joint work with Betancor, Duong, Li and Wick.
主讲人:杨东勇
报告时间:2019年12月12日 16:00-17:30
报告地点:精工楼7-104
个人简介:杨东勇,厦门大学数学科学学院教授、博士生导师,2010年于北京师范大学获得博士学位。研究方向为调和分析,主要从事与微分算子相关的函数空间及奇异积分算子的有界性,以及度量测度空间上的函数空间及其应用的研究。目前发表论著40余篇,包括J. Funct. Anal., Rev. Mat. Iberoam., J. Anal. Math., J. Geom. Anal. 和Indiana Univ. Math. J等国内外重要学术期刊。