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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2002, Vol. 3 Issue (1): 94-99    DOI: 10.1631/jzus.2002.0094
Applied Physics & Mathematics     
Decomposition in blocks at the level of wavelet coefficients and T(1) theorem on Hardy space
YANG Qi-xiang
Department of Mathematics, Wuhan University, Wuhan 430072, China
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Abstract  This paper deals with the establishment of T(1) theorem on Hardy space H1 under condition of weak regularity. An operator or a function is identified on the basis of their wavelet coefficients which are regrouped on some blocks. The actions of each block operator (pseudo-annular operator) on each block function (atom) are exactly analyzed to establish T(1) theorem on Hardy space

Key words： hardy space      wavelet coefficients      blocks     
Received: 18 June 2000     
CLC:  O177.8  
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YANG Qi-xiang. Decomposition in blocks at the level of wavelet coefficients and T(1) theorem on Hardy space. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2002, 3(1): 94-99.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2002.0094     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2002/V3/I1/94

[1] WANG Heng-geng, YANG Xiao-ming. The characterization of weighted local hardy spaces on domains and its application[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5( 9): 19-.