Integral formulas for a sub-Hardy Hilbert space on the ball with complete Nevanlinna-Pick reproducing kernel
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, vol.333, no.4, pp.285-290, 2001 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 333 Issue: 4
- Publication Date: 2001
- Doi Number: 10.1016/s0764-4442(01)02046-8
- Journal Name: COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.285-290
- Middle East Technical University Affiliated: No
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. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.