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

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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 characterize 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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Authors and Affiliations

  1. College of Engineering, Ibaraki University, 4–12–1, Nakanarusawa, Hitachi, Ibaraki, 316–8511, Japan

    Takuya Hosokawa

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  1. Takuya Hosokawa
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Correspondence to Takuya Hosokawa.

Additional information

Dedicated to the memory of Hiroyuki Takagi

Communicated by L. Molnár

Acknowledgment.

The author would like to thank the referee for his/her valuable suggestions.

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Hosokawa, T. Weighted composition operators acting from the Lipschitz space to the space of bounded functions on a tree. ActaSci.Math. 86, 209–224 (2020). https://doi.org/10.14232/actasm-019-522-6

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  • DOI: https://doi.org/10.14232/actasm-019-522-6

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