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Strongly Singular Integral Operators on Weighted Hardy Space 被引量:6

Strongly Singular Integral Operators on Weighted Hardy Space
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摘要 In this paper, we obtain that a strongly singular integral operator is bounded on Lω^p. space for 1 〈 p 〈 ∞. We also obtain that a strongly singular integral operator is a bounded operator from Hω^p, to Lω^p for some weight w and 0 〈 p ≤ 1. And by an atomic decomposition, we obtain that a strongly singular integral operator is a bounded operator on Hω^p for some w and 0 〈 p ≤ 1. In this paper, we obtain that a strongly singular integral operator is bounded on Lω^p. space for 1 〈 p 〈 ∞. We also obtain that a strongly singular integral operator is a bounded operator from Hω^p, to Lω^p for some weight w and 0 〈 p ≤ 1. And by an atomic decomposition, we obtain that a strongly singular integral operator is a bounded operator on Hω^p for some w and 0 〈 p ≤ 1.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第3期767-772,共6页 数学学报(英文版)
基金 Supported by National 973 Program of China(Grant No.19990751)
关键词 Strongly singular Calderón-Zygmund operators Hardy spaces A WEIGHT Strongly singular Calderón-Zygmund operators, Hardy spaces, A, weight
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