广义解析函数的Hardy空间与复合算子

IF 0.3 Q4 MATHEMATICS Concrete Operators Pub Date : 2018-04-01 DOI:10.1515/conop-2018-0002
Elodie Pozzi
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引用次数: 0

摘要

摘要本文给出了D上广义解析函数的Hardy空间与解析Hardy空间的联系的一些最新结果。它们的定义可以扩展到更一般的领域Ω。我们讨论了将这些定义扩展到更一般的域的方法,这些域依赖于域∂Ω边界的正则性。在一般域上的推广导致了广义解析函数Hardy空间间复合算子的可逆性的研究;最后讨论了对解析符号∅在单连通的dini -光滑域上广义解析函数Hardy空间上的复合算子C∅的可逆性和Fredholm性质。
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Hardy spaces of generalized analytic functions and composition operators
Abstract We present some recent results on Hardy spaces of generalized analytic functions on D specifying their link with the analytic Hardy spaces. Their definition can be extended to more general domains Ω . We discuss the way to extend such definitions to more general domains that depends on the regularity of the boundary of the domain ∂Ω. The generalization over general domains leads to the study of the invertibility of composition operators between Hardy spaces of generalized analytic functions; at the end of the paper, we discuss invertibility and Fredholm property of the composition operator C∅ on Hardy spaces of generalized analytic functions on a simply connected Dini-smooth domain for an analytic symbol ∅.
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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
期刊最新文献
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