Représentation intégrale pour un sous-espace de Hardy de la boule de noyau reproduisant de type Nevanlinna-Pick

Daniel Alpay; H. Turgay Kaptanoglu

doi:10.1016/S0764-4442(01)02046-8

Représentation intégrale pour un sous-espace de Hardy de la boule de noyau reproduisant de type Nevanlinna-Pick

Translated title of the contribution: Integral formulas for a sub-Hardy Hilbert space on the ball with complete Nevanlinna-Pick reproducing kernel

Daniel Alpay, H. Turgay Kaptanoglu

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We use the theory of Hilbert spaces of analytic functions on bounded symmetric domains in C^N to obtain information on the (1/(N+1))st power of the Bergman kernel of the ball. This kernel has played recently an important and growing role in operator theory. We present several integral formulas for the Hilbert space generated by this kernel.

Translated title of the contribution	Integral formulas for a sub-Hardy Hilbert space on the ball with complete Nevanlinna-Pick reproducing kernel
Original language	French
Pages (from-to)	285-290
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	333
Issue number	4
DOIs	https://doi.org/10.1016/S0764-4442(01)02046-8
State	Published - 15 Aug 2001
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1016/S0764-4442(01)02046-8

Cite this

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abstract = "We use the theory of Hilbert spaces of analytic functions on bounded symmetric domains in CN to obtain information on the (1/(N+1))st power of the Bergman kernel of the ball. This kernel has played recently an important and growing role in operator theory. We present several integral formulas for the Hilbert space generated by this kernel.",

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AB - We use the theory of Hilbert spaces of analytic functions on bounded symmetric domains in CN to obtain information on the (1/(N+1))st power of the Bergman kernel of the ball. This kernel has played recently an important and growing role in operator theory. We present several integral formulas for the Hilbert space generated by this kernel.

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

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ER -

Représentation intégrale pour un sous-espace de Hardy de la boule de noyau reproduisant de type Nevanlinna-Pick

Abstract

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