Seminar on Differential Equations

主講者: 韓永生教授 (Auburn University, US)
講題: Some Recent Works on Hardy Spaces: (II) Duality of Hardy Spaces
時間: 2010-04-14 (Wed.)  14:00 - 15:00
地點: 數學所 722 研討室 (台大院區)
Abstract: A famous result proved by C. Fefferman is that $(H^1)^*=BMO$, that is, the dual space of $H^1$ is BMO space which is introduced by John-Nirenberg. It is also known that $(H^p)^*=Lip^{ n(1/p - 1)}$ for $0
In this talk, we will provide an unified approach, namely a generalized Carleson measure spaces $CMO^p$, in particular, $CMO^1=BMO$. The duality argument is given by

Theorem 1 $(H^p)^*=CMO^p$ for $0
The main tools in the proof are discrete Calderon identity, discrete Littlwood-Paley-Stein analysis, generalized Carleson measure and sequence spaces.  
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