论文标题
迭代的对数Lipschitz的乘法运算符
Multiplication operators between iterated logarithmic Lipschitz spaces of a tree
论文作者
论文摘要
在本文中，我们表征了不同迭代的对数Lipschitz空间之间以及Lipschitz空间与无限树的迭代对数Lipschitz空间之间的界限和紧凑型乘法算子。此外，我们还提供了运营商的规范估计，并表明此类操作员之间没有异构体。 ％我们获得了作用在迭代的对数Lipschitz空间以及加权Lipschitz空间和Lipschitz空间之间的紧凑型乘法算子上的有界乘法运算符的新表征。
In this article, we characterize the bounded and the compact multiplication operators between distinct iterated logarithmic Lipschitz spaces, and between the Lipschitz space and an iterated logarithmic Lipschitz space of an infinite tree. In addition, we provide operator norm estimates and show that there are no isometries among such operators. %We obtain a new characterization of the bounded multiplication operators acting on an iterated logarithmic Lipschitz space and the compact multiplication operators between the weighted Lipschitz space and the Lipschitz space.
