English

Weighted composition operators acting from the Lipschitz space to the space of bounded functions on a tree

Functional Analysis 2019-02-28 v1

Abstract

We study the weighted composition operators between the Lipschitz space and the space of bounded functions on the set of vertices of an infinite tree. We characterized the boundedness, the compactness, and the boundedness from below of weighted composition operators. We also determine the isometric weighted composition operators.

Keywords

Cite

@article{arxiv.1902.10324,
  title  = {Weighted composition operators acting from the Lipschitz space to the space of bounded functions on a tree},
  author = {Takuya Hosokawa},
  journal= {arXiv preprint arXiv:1902.10324},
  year   = {2019}
}