Hilbert Spaces Contractively Included in the Hardy Space of the Bidisk View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2001-03

AUTHORS

D. Alpay, V. Bolotnikov, A. Dijksma, C. Sadosky

ABSTRACT

We study the reproducing kernel Hilbert spaces with kernels of the form where S(z1,z2) is a Schur function of two variables z1,z2ℓ. They are analogs of the spaces with reproducing kernel (1-S(z)S(w)*)/(1-zw*) introduced by de Branges and Rovnyak l. de Branges and J. Rovnyak, Square Summable Power Series Holt, Rinehart and Winston, New York, 1966. We discuss the characterization of as a subspace of the Hardy space on the bidisk. The spaces form a proper subset of the class of the so–called sub–Hardy Hilbert spaces of the bidisk. More... »

PAGES

25-50

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/a:1009826406222

DOI

http://dx.doi.org/10.1023/a:1009826406222

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1031974626


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