摘要
Cuckovic等刻画了shift算子加上整数倍Volterra算子在Hardy空间上的不变子空间。在他们以及Stessin和Zhu的关于约化子空间的研究基础上,文章研究了加权shift算子加上Volterra型算子在加权Bergman空间上的不变子空间问题并给出其所有约化子空间的完整刻画。
Cuckovic et al. characterized the invariant subspaces of the shift operator plus integer multiple of Volterra operator on Hardy spaces. Inspired by their works and the studies of the reducing subspaces by Stessin and Zhu, in this paper,the invariant subspaces and the reducing subspaces of weighted shift operators plus Volterra type operators on weighted Bergman spaces were studied.
引文
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