Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc
Artikel i vetenskaplig tidskrift, 2013

A natural class of weighted Bergman spaces on the symmetrized polydisc is isometrically embedded as a subspace in the corresponding weighted Bergman space on the polydisc. We find an orthonormal basis for this subspace. It enables us to compute the kernel function for the weighted Bergman spaces on the symmetrized polydisc using the explicit nature of our embedding. This family of kernel functions includes the Szego and the Bergman kernel on the symmetrized polydisc.

permutation group

weighted Bergman

Symmetrized polydisc

Schur functions

sign representation

GEOMETRY

PROPER HOLOMORPHIC MAPPINGS

Författare

G. Misra

Indian Institute of Science, Bangalore

S. S. Roy

Indian Institute of Science Education and Research, Kolkata

Genkai Zhang

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Proceedings of the American Mathematical Society

0002-9939 (ISSN) 1088-6826 (eISSN)

Vol. 141 7 2361-2370

Ämneskategorier

Matematik

DOI

10.1090/S0002-9939-2013-11514-5

Mer information

Skapat

2017-10-07