We refine a result of [J. E. McCarthy, Common range of co-analytic Toeplitz operators, J. Amer. Math. Soc. 3 1990, 4, 793–799] and explore the common range of the co-analytic Toeplitz operators on a model space. The tools used to do this also yield information about when one can interpolate with an outer function.

中文翻译：

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模型空间的常见范围问题

我们改进了 [JE McCarthy, Common range of co-analytic Toeplitz operators, J. Amer. 数学。社会。3 1990, 4, 793–799] 并探索模型空间上协解析 Toeplitz 算子的公共范围。用于执行此操作的工具还提供有关何时可以使用外部函数进行插值的信息。