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Volterra invariant subspaces of H-p

På svenska

Author

Summary, in English

A complete description is obtained for the subspaces of the Hardy space H-P (p >= 1) that are invariant under the Volterra integral operator. We then show that this result can be applied to derive complete characterizations of such subspaces in a large class of Banch spaces of analytic functions in the unit disc containing the usual Bergman and Dirichlet spaces. (C) 2007 Elsevier Masson SAS. All rights reserved.

Publishing year

2008

Language

English

Pages

510-528

Publication/Series

Bulletin des Sciences Mathématiques

Volume

132

Issue

6

Document type

Journal article

Publisher

Gauthier-Villars

Topic

  • Mathematics

Status

Published

ISBN/ISSN/Other

  • ISSN: 0007-4497