Compact Hankel operators with bounded symbols

IF 0.7 4区 数学 Q2 MATHEMATICS
R. Hagger, J. Virtanen
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引用次数: 11

Abstract

We give a new proof of the result that the Hankel operator Hf with a bounded symbol is compact on standard weighted Fock spaces F2α(Cn) if and only if H¯¯¯f is compact. Our proof uses limit operator techniques and extends to Fpα(Cn) when $1
具有有界符号的紧致Hankel算子
给出了具有有界符号的Hankel算子Hf在标准加权Fock空间F2α(Cn)上是紧的当且仅当H¯¯f是紧的新证明。我们的证明使用极限算子技术,并推广到$1时的Fpα(Cn)
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来源期刊
CiteScore
1.30
自引率
12.50%
发文量
23
审稿时长
12 months
期刊介绍: The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.
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