解析函数的Banach空间上的复合算子

IF 0.9 4区数学 Q2 Mathematics

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-06-01 DOI:10.5186/AASFM.2019.4436

M. Mastyło, P. Mleczko

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引用次数: 0

摘要

研究复平面单位圆盘上解析函数的拟巴拿赫空间上的复合算子。特别地，如果Cφ是一个来自抽象Hardy空间的算子，则给出了关于阶有界函数φ和求和算子Cφ的刻画。给出了Hardy-Orlicz、Hardy-Lorentz和生长空间的特殊情况下的应用。

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Composition operators on Banach spaces of analytic functions

In the paper composition operators acting on quasi-Banach spaces of analytic functions on the unit disc of the complex plane are studied. In particular characterizations in terms of a function φ of order bounded as well as summing operators Cφ are presented, if Cφ is an operator from an abstract Hardy space. Applications are shown for the special case of Hardy–Orlicz, Hardy–Lorentz, and growth spaces.

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来源期刊

Annales Academiae Scientiarum Fennicae-Mathematica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Annales Academiæ Scientiarum Fennicæ Mathematica is published by Academia Scientiarum Fennica since 1941. It was founded and edited, until 1974, by P.J. Myrberg. Its editor is Olli Martio. AASF publishes refereed papers in all fields of mathematics with emphasis on analysis.