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Calderón–Zygmund decompositions in tent spaces and weak-type endpoint bounds for two quadratic functionals of Stein and Fefferman-Stein

来源: bv1946伟德 发布时间: 2019-04-22 点击量:
  • 讲座人: 黄益
  • 讲座日期: 2019-05-20
  • 讲座时间: 10:10
  • 地点: 长安校区数学与信息科学学院多功能厅

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/http://mathscinet.ams.org/mathscinet/search/publications.html?pg1=INDI&s1=1152683.


 

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