Strongly Singular Integral Operators on Weighted Hardy Space

Strongly Singular Integral Operators on Weighted Hardy Space
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DOI:
10.1007/s10114-005-0604-7
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发表时间:
2006-05
期刊:
Acta Mathematica Sinica
影响因子:
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通讯作者:
J. Li;Shan-zhen Lu
J. Li;Shan-zhen Lu
中科院分区:
其他
文献类型:
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作者:
J. Li;Shan-zhen Lu

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本文得到了强奇异积分算子在1 <p< ∞时在空间上有界.我们还得到了强奇异积分算子是从到的有界算子,且0 <p≤ 1。通过原子分解,我们得到了强奇异积分算子是上的有界算子,且0 <p≤ 1.
In this paper, we obtain that a strongly singular integral operator is bounded onspace for 1 <p< ∞. We also obtain that a strongly singular integral operator is a bounded operator fromtofor some weightwand 0 <p≤ 1. And by an atomic decomposition, we obtain that a strongly singular integral operator is a bounded operator onfor some w and 0 <p≤ 1.