Isometries between spaces of weighted holomorphic functions

• Autorzy: Christopher Boyd , Pilar Rueda
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 46B04: Isometric theory of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 190
• Numer: 3
• Strony: 203-231

Daty

wydano

2009

Twórcy

autor

Christopher Boyd

• School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland

autor

Pilar Rueda

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Valencia, 46100 Burjasot, Valencia, Spain

Identyfikatory

DOI

10.4064/sm190-3-1