Holomorphic functions on the symmetrized bidisk II -- Interpolating sequences and the Toeplitz corona theorem
Tirthankar Bhattacharyya, Haripada Sau
TL;DR
This paper presents two new theorems for bounded holomorphic functions on the symmetrized bidisk, providing a characterization of interpolating sequences and establishing a Toeplitz corona theorem.
Contribution
It introduces novel theorems that advance understanding of function theory on the symmetrized bidisk, specifically in interpolation and corona problems.
Findings
Characterization of interpolating sequences on the symmetrized bidisk
A Toeplitz corona theorem for the symmetrized bidisk
New tools for bounded holomorphic functions in several complex variables
Abstract
This note 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 · Algebraic and Geometric Analysis · Meromorphic and Entire Functions