Difference of Weighted Composition Operators on the Space of Cauchy Integral Transforms
Difference of Weighted Composition Operators on the Space of Cauchy Integral Transforms
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DOI：
10.11650/tjm/180404
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发表时间：
2018-12
影响因子：
0.4
通讯作者：
Xinqi Guo;Maofa Wang
中科院分区：
文献类型：
--
作者：
Xinqi Guo;Maofa Wang
本文给出了加权复合算子从Cauchy积分变换空间到对数加权型空间的有界性和紧性的一个完整的函数论刻画。令人惊讶的是，这些刻划的一个有趣的特征是它们不受𝜑(𝑧)和𝜓(𝑧之间的伪双曲距离的影响，这与以前对不同全纯函数空间之间作用的加权复合算子的差异的刻画不同。
In this paper, we provide a complete function theoretic characterizations for boundedness and compactness of difference of weighted composition operators from the space of Cauchy integral transforms to logarithmic weighted-type spaces. Surprisingly, an interesting feature of these characterizations is that they are free from pseudo-hyperbolic distance between 𝜑(𝑧) and 𝜓(𝑧), which is different from the previous characterizations of difference of weighted composition operators acting between different holomorphic function spaces.