Composition Operators on the Fock Space
Composition Operators on the Fock Space
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发表时间：
2002
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通讯作者：
Brent J. Carswell;Barbara D. Maccluer;A. Schuster
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作者：
Brent J. Carswell;Barbara D. Maccluer;A. Schuster
确定了C中诱导Fock空间上有界复合算子的全纯映射。此外，我们确定这些复合算子是紧凑的，我们计算的运营商范数的所有有界复合运营商在此设置。我们还考虑扩展这些结果在各种推广的Fock空间。
We determine the holomorphic mappings of C that induce bounded composition operators on the Fock space in C. Furthermore, we determine which of these composition operators are compact, and we compute the operator norm of all bounded composition operators in this setting. We also consider extensions of these results in various generalizations of the Fock space.