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.

DOI: 10.14232/actasm-019-522-6

AMS Subject Classification (1991): 47B33, 47B38, 05C05

Keyword(s): tree, Lipschitz space, weighted composition operator

received 24.3.2019, revised 11.3.2020, accepted 20.3.2020. (Registered under 22/2019.)