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Hankel kernels of higher weight for the ball

Published online by Cambridge University Press:  22 January 2016

Jaak Peetre
Jaak Peetre*
Affiliation:
Matematiska institutionen, Box 6701, S-113 85 Stockholm, Sweden, Matematiska institutionen, Box 118, S-22100 Lund, Sweden
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The purpose of this note is to write down the general form of Hankel kernels for the complex unit ball B in Cd. In the one dimensional case (unit disk Δ in C) this was done in [JP] and our treatment below has been guided by the insights gained there, and later, in a slightly different context, in [P]. We begin by summarizing the relevant facts in the case of the disk in a form convenient for us.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 130 , June 1993 , pp. 183 - 192
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1993

References

[JP] Peetre, S. Janson-J., A new generalization of Hankel operators (the case of higher weights), Math. Nachr., 132 (1987), 313–328.Google Scholar
[P] Peetre, J., Reproducing formulae for holomorphic tensor fields, Boll. U. M. L, (7) 2-B(1988), 343–359.Google Scholar
[R] Rudin, W., Function theory on the unit ball of Cn , Springer, New York-Heidelberg-Berlin, 1980.CrossRefGoogle Scholar