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Decomposition in blocks at the level of wavelet coefficients and T(1 ) theorem on Hardy space

Decomposition in blocks at the level of wavelet coefficients and T(1) theorem on Hardy space
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摘要 This paper deals with the estabhshment of T(1) theorem on Hardy space H^l under condition of weak regldarity. An operator or a function is identified on the basis of their wavelet coefficients which axe regrouped on some blocks. The actions of each block operator ( pseudo-annular operator) on each block function(atom) axe exactly analyzed to establish T( 1 ) theorem on Hardy space. This paper deals with the establishment of \%T(1)\% theorem on Hardy space \%H 1\% 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.
作者 杨奇祥
出处 《Journal of Zhejiang University Science》 CSCD 2002年第1期94-99,共6页 浙江大学学报(自然科学英文版)
关键词 HARDY空间 小波系数 T(1)定理 线性算子 泛函分析 hardy space, wavelet coefficients, blocks
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