报告题目: |
Multiparameter Harmonic Analysis: Hardy spaces, BMO spaces and boundedness of singular integrals |
报告人: |
陆国震 教授 |
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Wayne State University, USA
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报告时间: |
2010-12-09 15:00 |
报告地点: |
理科楼1304报告厅 |
主办单位: |
数学系 |
简介: |
We will report some recent development on multiparameter harmonic analysis. These include discrete Littlewood-Paley-Stein analysis in several multiparameter settings associated with the flag singular integrals, Zygmund dilations, and Marcinkewicz multiplier theorems on the Heisenberg group. Our result on boundedness of Marcinkewicz multipliers on the Heisenberg group on Hardy and BMO spaces provide the endpoint theorem of $L^p$ boundedness of Muller-Ricci-Stein and answers a question of E. Stein concerning the theory of Hardy space associated with the implicit multiparameter structures on the Heisenberg group. These are joint works with Y. Han and E. Sawyer. |
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