Release Time:2019-11-22  Hits:

Indexed by: Journal Papers

Date of Publication: 2019-11-01

Journal: ANNALS OF FUNCTIONAL ANALYSIS

Included Journals: SCIE

Volume: 10

Issue: 4

Page Number: 447-459

ISSN: 2008-8752

Key Words: Hardy space; bidisk; compressed shift

Abstract: In this paper, we show that, for the rational inner function theta(z, w) zw+(b) over barw+(c) over barz+(d) over bar /1+bz+cw+dzw, S-z is reducible on the quotient module kappa(theta) = H-2 circle minus theta H-2 over the bidisk if and only if theta is the product of two one-variable inner functions.