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Polynomial approximation and composition operators
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-06-10 , DOI: 10.1090/proc/14455
Guangfu Cao , Li He , Kehe Zhu

Abstract:We study the relationship between polynomial approximations in the Bergman space of certain simply connected domains in the complex plane and composition operators on the Dirichlet space of the unit disk. In particular, we characterize when a composition operator on the Dirichlet space has dense range, which settles a problem posed by Joseph Cima in 1976.


中文翻译:

多项式逼近和复合算子

摘要:我们研究复平面中某些单连通域的伯格曼空间中的多项式近似与单位圆盘的狄利克雷空间上的复合算子之间的关系。特别是,我们刻画了狄利克雷空间上的复合算子何时具有密集范围,这解决了 Joseph Cima 在 1976 年提出的问题。
更新日期:2021-07-27
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