Sharp Estimates of the Solutions to Bézout’s Polynomial Equation and a Corona Theorem

Emmanuel Fricain,Andreas Hartmann,William T. Ross,Dan Timotin

JOURNAL OF GEOMETRIC ANALYSIS（2023）

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摘要

The main result of this paper is a corona theorem for the multipliers of a class of de Branges–Rovnyak spaces. A key to this involves estimates for the solutions to the classical Bézout equation that are analogous to Carleson’s solution to the corona theorem.

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关键词

Bezout's equation, De Branges-Rovnyak spaces, Corona theorem

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