Spectra of some invertible weighted composition operators on Hardy and weighted Bergman spaces in the unit ball
Spectra of some invertible weighted composition operators on Hardy and weighted Bergman spaces in the unit ball
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DOI：
10.5186/aasfm.2016.4111
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发表时间：
2013-12
期刊：
影响因子：
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通讯作者：
Yongxin Gao;Ze‐hua Zhou
中科院分区：
文献类型：
--
作者：
Yongxin Gao;Ze‐hua Zhou
In this paper, we investigate the spectra of invertible weighted composition operators with automorphism symbols, on Hardy space $H^2(\mathbb{B}_N)$ and weighted Bergman spaces $A_\alpha^2(\mathbb{B}_N)$, where $\mathbb{B}_N$ is the unit ball of the $N$-dimensional complex space. By taking $N=1$, $\mathbb{B}_N=\mathbb{D}$ the unit disc, we also complete the discussion about the spectrum of a weighted composition operator when it is invertible on $H^2(\mathbb{D})$ or $A_\alpha^2(\mathbb{D})$.
