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arXiv · 2505.23492

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

Shubham Jain·Surjit Kumar·Milan Kumar Mal·Paramita Pramanick
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Abstract

We introduce a Schur-Agler type class associated with the tetrablock and establish a realization theorem for this class. Furthermore, we provide a tetrablock analog of the interpolation theorem, extension theorem, and the Toeplitz corona theorem.

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Shubham Jain, Surjit Kumar, Milan Kumar Mal, Paramita Pramanick. 2025-05-29. Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem. https://arxiv.org/abs/2505.23492

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