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Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

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

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


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DOI:

10.1631/jzus.2002.0094

CLC number:

O177.8

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On-line Access:

2024-08-27

Received:

2023-10-17

Revision Accepted:

2024-05-08

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