On the compactness of operators of Hankel type
On the compactness of operators of Hankel type
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DOI：
10.2748/tmj/1178230105
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发表时间：
1978
影响因子：
0.5
通讯作者：
Akihito Uchiyama
中科院分区：
文献类型：
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作者：
Akihito Uchiyama
BMO、BMO-范数和CMO的定义将在第1节的末尾给出。我们注意到[1]中考虑了更一般的情况。在下文中，所考虑的所有函数将是定义在Rn上的真实的值函数。对于可测函数B，我们定义B（f）= B f。如文[1]所指出的，对于一维情形，[H，B] = HB BH的研究，其中H是Hilbert变换，往往本质上等价于L~ 2的研究。设K是具有光滑核的Calderon-Zygmund奇异积分算子.也就是说，有一个Q（x）是齐次的，
The definitions of BMO, BMO-norm and CMO will be given at the end of Section 1. We note that more general situations are considered in [1]. In the following all the functions considered will be real valued functions defined on Rn. For a measurable function b we define B(f) = b f . As pointed out in [1] for the one dimensional case the study of [H, B] = HB BH, where H is the Hilbert transform, is often essentially equivalent to that of L~. Suppose that K is a Calderon-Zygmund singular integral operator with smooth kernel. That is, there is an Q(x) which is homogeneous of