Geodesic
Isometries between spaces of weighted holomorphic functions
Christopher Boyd1 ; Pilar Rueda2
1School of Mathematical Sciences University College Dublin Belfield, Dublin 4, Ireland
2Departamento de Análisis Matemático Facultad de Matemáticas Universidad de Valencia 46100 Burjasot, Valencia, Spain
Studia Mathematica, Tome 190 (2009) no. 3, pp. 203-231
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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.
DOI : 10.4064/sm190-3-1
Keywords: study isometries between spaces weighted holomorphic functions isometries have canonical form determined group homeomorphisms distinguished subset range domain number invariants these isometries determined specific families weights classify form isometries

Christopher Boyd  1   ; Pilar Rueda  2

1 School of Mathematical Sciences University College Dublin Belfield, Dublin 4, Ireland
2 Departamento de Análisis Matemático Facultad de Matemáticas Universidad de Valencia 46100 Burjasot, Valencia, Spain 
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Christopher Boyd; Pilar Rueda. Isometries between spaces of
 weighted holomorphic functions. Studia Mathematica, Tome 190 (2009) no. 3, pp. 203-231. doi: 10.4064/sm190-3-1

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