Isometries between spaces of weighted holomorphic functions
Volume 190 / 2009
Studia Mathematica 190 (2009), 203-231
MSC: Primary 46B04, 46E15.
DOI: 10.4064/sm190-3-1
Abstract
We study isometries between spaces of weighted holomorphic functions. We show that such isometries have a canonical form determined by a group of homeomorphisms of a distinguished subset of the range and domain. A number of invariants for these isometries are determined. For specific families of weights we classify the form isometries can take.
