On Hormander condition

YANG Qixiang; YAN Lixin; DENG Donggao

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On Hormander condition

机译：在荷尔蒙条件下

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Theorem 1 (The T(l) theorem of David-Journe). Suppose that the kernel of an operator T satisfies and, Moreover, if T(l) = T~*(1)=0, T∈ WBP, then T can be extended to a bounded operator on L~2(R~n). In the theory of singular integral operator with convolution kernel, up to now the Hormander condition has been known as the weakest kernel condition to guarantee the bound-edness of operator on L~2, as well as on the Hardy spaces H and the Besov spaces B_1~(01).

机译：定理1（David-Journe的T（l）定理）。假设一个算子T的核满足，并且，如果T（l）= T〜*（1）= 0，T∈WBP，那么T可以扩展到L〜2（R〜n）上的有界算子。在带卷积核的奇异积分算子理论中，迄今为止，霍曼德条件被称为最弱核条件，以保证算子在L〜2以及Hardy空间H和Besov空间上的有界性B_1〜（01）。

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来源
《Chinese science bulletin》 |1997年第16期|共5页
作者
YANG Qixiang; YAN Lixin; DENG Donggao;
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正文语种 eng
中图分类自然科学现状及发展;
关键词
Calderon-Zygmund operator; Hormander condition; Hardy spaces; Besov spaces; wavelets;

机译：Calderon-Zygmund算子;Hormander条件;Hardy空间;Besov空间;小波;

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On Hormander condition

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