论文标题
关于无限维圆环积分的分化
On differentiation of integrals in the infinite-dimensional torus
论文作者
论文摘要
我们回答了有关卢比亚de Francia基础差异问题的最近提出的问题,$ \ mathcal {r} $ in Infinite torus $ \ mathbb {t}^ω$。特别是,我们证明$ \ Mathcal {r} $没有区分$ l^\ infty(\ Mathbb {t}^ω)$。还包括有关任意基础背景下差异化的一些评论。
We answer the recently posed questions regarding the problem of differentiation of integrals for the Rubio de Francia basis $\mathcal{R}$ in the infinite torus $\mathbb{T}^ω$. In particular, we prove that $\mathcal{R}$ does not differentiate $L^\infty(\mathbb{T}^ω)$. Some remarks about differentiation in the context of arbitrary bases are also included.