Isometries between spaces of weighted holomorphic functions

@article{ChristopherBoyd2009,
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.},
author = {Christopher Boyd, Pilar Rueda},
journal = {Studia Mathematica},
keywords = {weighted spaces of holomorphic functions; isometries; Banach-Stone theorems},
language = {eng},
number = {3},
pages = {203-231},
title = {Isometries between spaces of weighted holomorphic functions},
url = {http://eudml.org/doc/284923},
volume = {190},
year = {2009},
}

TY - JOUR
AU - Christopher Boyd
AU - Pilar Rueda
TI - Isometries between spaces of weighted holomorphic functions
JO - Studia Mathematica
PY - 2009
VL - 190
IS - 3
SP - 203
EP - 231
AB - 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.
LA - eng
KW - weighted spaces of holomorphic functions; isometries; Banach-Stone theorems
UR - http://eudml.org/doc/284923
ER -