Minimal interpolation in spaces of analytic functions

Any subspace of the space of bounded analytic functions determines a family of problems of minimal-norm interpolation in L p metric This paper deals with the case when the solutions of these problems arc the same for all p> 1. We give the description of such subspaces, consider some examples and...

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Bibliographic Details
Published inComplex variables, theory & application Vol. 38; no. 1; pp. 47 - 68
Main Author Stessin, Michael I.
Format Journal Article
LanguageEnglish
Published Gordon and Breach Science Publishers 01.01.1999
Subjects
1991 Mathematics Subject Classification 30C70
Bergman spaces
Hardy spaces
Minimal interpolation
reproducing kernels
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ISSN0278-1077
1563-5066
DOI10.1080/17476939908815153

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Summary:Any subspace of the space of bounded analytic functions determines a family of problems of minimal-norm interpolation in L p metric This paper deals with the case when the solutions of these problems arc the same for all p> 1. We give the description of such subspaces, consider some examples and in a special setting in H 2 prove the generating property of extremal functions.
ISSN:0278-1077
1563-5066
DOI:10.1080/17476939908815153