We give necessary and sufficient conditions for the boundedness and compactness of weighted composition operators between spaces of vector-valued Lipschitz functions. We then show that a bounded separating linear operator between these spaces is indeed a weighted composition operator.
"Weighted composition operators between vector-valued Lipschitz function spaces." Banach J. Math. Anal. 7 (1) 59 - 72, 2013. https://doi.org/10.15352/bjma/1358864548