On order bounded weighted composition operators between Dirichlet spaces
On order bounded weighted composition operators between Dirichlet spaces
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DOI：
10.1007/s11117-016-0462-9
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发表时间：
2017-09
期刊：
影响因子：
1
通讯作者：
A. Sharma
中科院分区：
文献类型：
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作者：
A. Sharma
最近，Gao等人（Chin Ann Math 37 B：585-594，2016）证明了作用在Dirichlet空间之间的加权复合算子的阶有界性的充分条件。本文证明了它们的条件是作用在这两个空间之间的加权复合算子序有界的充要条件。
Recently, Gao et al. (Chin Ann Math 37B:585–594, 2016) proved a sufficient condition for order boundedness of a weighted composition operator acting between Dirichlet spaces. In this paper, we prove that their condition is a necessary and sufficient condition for order boundedness of a weighted composition operator acting between these spaces.