Fourier spectrum characterization of Hardy spaces and applications

Fourier spectrum characterization of Hardy spaces and applications
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DOI:
10.1090/s0002-9939-08-09544-0
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发表时间:
2008-09
期刊:
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影响因子:
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通讯作者:
Tao Qian;Yuesheng Xu;Dunyan Yan;Lixin Yan;Bo Yu
Tao Qian;Yuesheng Xu;Dunyan Yan;Lixin Yan;Bo Yu
中科院分区:
其他
文献类型:
--
作者:
Tao Qian;Yuesheng Xu;Dunyan Yan;Lixin Yan;Bo Yu

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利用傅里叶谱刻画了复Hardy空间HP(C±),1<p<oo中函数的边值问题。作为应用,我们将最初针对平方可积函数所提出的贝德罗斯恒等式推广到L的情形。
We characterize in terms of Fourier spectrum the boundary values of functions in the complex Hardy spaces H P (C ± ), 1 < p < oo. As an application we extend the Bedrosian identity, originally stated for square-integrable functions, to the L P (R) cases.