论文标题

对B {é} Zout的多项式方程和电晕定理的解决方案的尖锐估计

Sharp estimates of the solutions to B{é}zout's polynomial equation and a corona theorem

论文作者

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

论文摘要

在本文中,我们获得了经典b {é} Zout方程的解决方案的估计值,这些方程类似于Carleson对开放单位磁盘上有界分析函数的Corona定理的解决方案。作为应用程序,我们扩展了LUO的一些结果,并获得了一类De Branges-Rovnyak空间的乘数的电晕定理。

In this paper, we obtain estimates for the solutions to the classical B{é}zout equation that are analogous to Carleson's solution to the corona theorem for the bounded analytic functions on the open unit disk. As an application, we extend some results of Luo and obtain a corona theorem for the multipliers of a class of de Branges--Rovnyak spaces.

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