Multiplication operators between iterated logarithmic Lipschitz spaces of a tree
arXiv:2207.12219 · doi:10.1007/s00009-017-1013-8
Abstract
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.
References in corpus (5)
- Multiplication operators on the weighted Lipschitz space of a tree
- Multiplication operators on the iterated logarithmic Lipschitz spaces of a tree
- Multiplication operators between Lipschitz-type spaces on a tree
- Discrete Analogue of Generalized Hardy Spaces and Multiplication Operators on Homogenous Trees
- Composition operators on weighted Banach spaces of a tree