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

2019/02/27 by Takuya Hosokawa, Hosokawa, Takuya
Mathematics · Computer Science · #Holomorphic and Operator Theory #Advanced Topics in Algebra #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.1902.10324

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.

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