天元讲堂(9.19) Carleson Measures for Dirichlet Spaces
题目:Carleson Measures for Dirichlet Spaces
时间:2018年9月19日下午 4:00---5:00
地点:数学楼二楼学术报告厅
报告人:王子鹏 (陕西师范大学)
摘要:In this talk we prove that all doublingmeasures on the unit disk are Carleson measures for the standard Dirichletspace. The proofs are based on (1) a characterization of Carleson measureswhich holds true for general reproducing kernel Hilbert spaces; (2) a newequivalent condition for Carleson measures, which holds true only for thestandard Dirichlet space; (3) an application of dyadic method to our setting.