Integral formulas for a sub-Hardy Hilbert space on the ball with complete Nevanlinna-Pick reproducing kernel

Alpay, D; Kaptanoglu, HT

doi:10.1016/s0764-4442(01)02046-8

Integral formulas for a sub-Hardy Hilbert space on the ball with complete Nevanlinna-Pick reproducing kernel

Atıf İçin Kopyala

Alpay D., Kaptanoglu H.

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, cilt.333, sa.4, ss.285-290, 2001 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 333 Sayı: 4
Basım Tarihi: 2001
Doi Numarası: 10.1016/s0764-4442(01)02046-8
Dergi Adı: COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.285-290
Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

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.