Difference of composition operators over the half-plane
Difference of composition operators over the half-plane
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DOI：
10.1007/s11425-018-9439-2
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发表时间：
2020-06
期刊：
影响因子：
--
通讯作者：
C. Pang;Maofa Wang
中科院分区：
文献类型：
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作者：
C. Pang;Maofa Wang
为了克服半平面的无界性，当所有索引选择的组合算子的差异从标准加权伯格曼空间到半平面上的勒贝格空间有界或紧凑时，我们使用 Khinchine 不等式和原子分解技术来提供联合卡尔森测度表征。对于应用，我们获得了此类空间上组合算子的有界和紧致差异的直接分析特征。本文得出当组合算子的差分为希尔伯特-施密特时的联合卡尔森测度表征。
To overcome the unboundedness of the half-plane, we use Khinchine’s inequality and atom decomposition techniques to provide joint Carleson measure characterizations when the difference of composition operators is bounded or compact from standard weighted Bergman spaces to Lebesgue spaces over the half-plane for all index choices. For applications, we obtain direct analytic characterizations of the bounded and compact differences of composition operators on such spaces. This paper concludes with a joint Carleson measure characterization when the difference of composition operators is Hilbert-Schmidt.