讲座内容简介:
We prove some Calderón-Zygmund type decompositions for functions in the tent spaces introduced by Coifman, Meyer and Stein. These decompositions will be useful in the operator theory on tent spaces developed in the author's 2015 thesis. As an application of these decompositions to the study of quadratic functionals on tent spaces, we give a unified proof for tent space generalizations of C. Fefferman's endpoint weak-type estimates for grand square functions and of C. Fefferman and Stein's endpoint weak-type estimates for box maximal functions.
讲座人简介:
黄益,南京师范大学教师,主要研究兴趣为Operator Theory & Harmonic Analysis, Boundary Value Elliptic & Parabolic Problems,Spectral Theory & Complex Analysis.详细介绍见 https://sites.google.com/site/yihuanganalyse/ 和 http://mathscinet.ams.org/mathscinet/search/publications.html?pg1=INDI&s1=1152683.