具有有界符号的紧致Hankel算子

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2019-06-18 DOI:10.7900/jot.2020apr27.2276

R. Hagger, J. Virtanen

引用次数: 11

摘要

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)

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Compact Hankel operators with bounded symbols

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

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

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.