WEIGHTS
WEIGHTS
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DOI：
10.1007/bfb0091154
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发表时间：
1989-01-01
影响因子：
--
通讯作者：
TORCHINSKY, A
中科院分区：
文献类型：
--
作者：
STROMBERG, JO;TORCHINSKY, A
这些说明给出了基本成分的理论加权哈代空间的回火分布对Rn和说明所使用的技术。作者认为在一般设置的权重的属性，他们推导出小波变换的均值不等式，并引入半空间技术，例如，非切极大函数和g-函数。这导致加权哈代空间HPW的几个等价定义。将Fourier乘子和奇异积分算子应用于加权哈代空间，并考虑了复插值。这里经常使用的一个工具是原子分解。作者在严格凸情形p> 1下利用原子分解所发展的方法特别令人感兴趣。
These notes give the basic ingredients of the theory of weighted Hardy spaces of tempered distribution on Rn and illustrate the techniques used. The authors consider properties of weights in a general setting; they derive mean value inequalities for wavelet transforms and introduce halfspace techniques with, for example, nontangential maximal functions and g-functions. This leads to several equivalent definitions of the weighted Hardy space HPW. Fourier multipliers and singular integral operators are applied to the weighted Hardy spaces and complex interpolation is considered. One tool often used here is the atomic decomposition. The methods developed by the authors using the atomic decomposition in the strictly convex case p> 1 are of special interest.