Interpolating sequences and the Toeplitz corona theorem on the symmetrized bidisk
Tirthankar Bhattacharyya, Haripada Sau
TL;DR
This paper advances the understanding of bounded holomorphic functions on the symmetrized bidisk by providing new theorems on interpolating sequences and the Toeplitz corona problem, extending previous work in the field.
Contribution
It introduces two new theorems: a characterization of interpolating sequences and a Toeplitz corona theorem for the symmetrized bidisk, building on prior research.
Findings
Characterization of interpolating sequences on the symmetrized bidisk
A Toeplitz corona theorem for the symmetrized bidisk
Extension of previous results in complex analysis
Abstract
This paper is a continuation of work done in \cite{BS}. It contains two new theorems about bounded holomorphic functions on the symmetrized bidisk -- a characterization of interpolating sequences and a Toeplitz corona theorem.
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Taxonomy
TopicsHolomorphic and Operator Theory · Meromorphic and Entire Functions · Algebraic and Geometric Analysis