We will give the -Lipschitz version of the Banach-Stone type theorems for lattice-valued -Lipschitz functions on some metric spaces. In particular, when and are bounded metric spaces, if is a nonvanishing preserver, then is a weighted composition operator , where is a Lipschitz homeomorphism. We also characterize the compact weighted composition operators between spaces of Lipschitz functions.
"Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions." Abstr. Appl. Anal. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/741050