主 题:Carleson measures for spaces of analytic functions
主讲人:Georgia Institute of Technology Brett Wick
主持人:经济数学学院 郭训香教授
时 间:2014年7月1日(星期二)下午4:00
地 点:柳林校区通博楼B412
主办单位:经济数学学院 科研处
内容提要:
Carleson measures are a fundamental object in the study of function spaces in one and several variables. While these measures can be defined purely in terms of function theory, in applications of these measures one wants a more 'usable' equivalent characterization of these measures. Finding this equivalent characterization will connect us to the study of weighted inequalities in harmonic analysis and bring in a large family of tools by which to study these objects and questions. In this talk we will discuss recent results where the characterization of these measures is obtained by testing conditions. In particular we will discuss how this plays a role in understanding the Carleson measure for Besov-Sobolev spaces and for model spaces.