Difference of composition operators between standard weighted Bergman spaces
Difference of composition operators between standard weighted Bergman spaces
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DOI：
10.1016/j.jmaa.2011.03.058
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发表时间：
2011-09
影响因子：
1.3
通讯作者：
Erno Saukko
中科院分区：
文献类型：
--
作者：
Erno Saukko
给出了某些Bergman空间上两个复合算子之差的范数和本质范数的估计。特别地，建立了算子有界性和紧性的充要条件。最后，给出了Hardy空间之间差分算子有界性和紧性的一个充分条件。
We obtain estimates for the norm and essential norm of the difference of two composition operators between certain Bergman spaces. In particular, a necessary and sufficient condition for boundedness and compactness of the operator is established. Finally, we give a sufficient condition for boundedness and compactness of the difference operator between Hardy spaces.