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The majorization function and the index of invariant subspaces in the Bergman spaces

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Author

Summary, in English

The index of an invariant subspace M of a Banach space of analytic functions in the open unit disc is defined by ind M = dim M/zM. In this paper, we provide a strong link between high index and nontangential boundary behaviour of the functions in an invariant subspace.

Publishing year

2002

Language

English

Pages

139-182

Publication/Series

Journal d'Analyse Mathematique

Volume

86

Document type

Journal article

Publisher

Magnes Press

Topic

  • Mathematics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1565-8538