Skip Navigation

Journal of the London Mathematical Society 1990 s2-41(1):78-88; doi:10.1112/jlms/s2-41.1.78
© 1990 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Timoney, R. M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© Oxford University Press

Natural Function Spaces

Richard M. Timoney

School of Mathematics 39 Trinity College, Dublin 2

In this paper we propose a criterion for naturality of a norm on a space of analytic functions defined on the unit disc D in the complex plane C, a criterion which seems to be satisfied in the usual examples of function spaces. For Möbius-invariant function spaces we can recover some results of Arazy, Fisher and Peetre [5, 4], but with fewer assumptions. In particular, we generalise the result of Arazy and Fisher [4] on the uniqueness of the Dirichlet space as a Möbius-invariant semiHilbert space of analytic functions on D.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.