论文标题
calderón-Zygmund类型的分解以及关于无限维圆环积分差异的一些观察结果
A decomposition of Calderón--Zygmund type and some observations on differentiation of integrals on the infinite-dimensional torus
论文作者
论文摘要
在本说明中,我们将显示一个与l^1中的功能$ f \相关的calderón-zygmund分解(\ mathbb {t}^ω)$。这个想法依赖于J. L. Rubio de Francia在局部紧凑型组的环境中对更一般结果的适应。还讨论了有关无限维圆环积分分化的一些相关结果。
In this note we will show a Calderón--Zygmund decomposition associated with a function $f\in L^1(\mathbb{T}^ω)$. The idea relies on an adaptation of a more general result by J. L. Rubio de Francia in the setting of locally compact groups. Some related results about differentiation of integrals on the infinite-dimensional torus are also discussed.