解析函数 Hilbert 空间上的余等距加权复合算子
复变函数
2021-07-14 v4
摘要
我们得到了在单位圆盘上一般加权 Hardy 解析函数空间中，加权复合算子为余等距的充要条件，该空间的再生核具有通常的自然形式。这被证明等价于酉性。该结果揭示了一种二分性，确定了一类特定的加权 Hardy 空间为唯一支持此类非平凡算子的空间。
引用
@article{arxiv.1904.09026,
title = {Co-isometric weighted composition operators on Hilbert spaces of analytic functions},
author = {María J. Martín and Alejandro Mas and Dragan Vukotić},
journal= {arXiv preprint arXiv:1904.09026},
year = {2021}
}
备注
The proof of Proposition 1 has been corrected and reorganized. Various misprints have been corrected and various other minor changes have been made