Generalized Volterra Operators on Dales–Davie Algebras

IF 1.1 3区数学 Q1 MATHEMATICS

Results in Mathematics Pub Date : 2024-08-06 DOI:10.1007/s00025-024-02249-6

A. H. Gholizadeh, Z. S. Hosseini, A. H. Sanatpour

引用次数: 0

Abstract

We investigate the boundedness and compactness properties of integral operators, Volterra operators, and generalized Volterra operators between the Dales–Davie algebras. Additionally, we study the analogous properties of these operators when applied to the Lipschitz versions of Dales–Davie algebras.

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戴尔斯-戴维代数上的广义沃尔特拉算子

我们研究了积分算子、沃尔特拉算子和广义沃尔特拉算子在戴尔斯-戴维代数学之间的有界性和紧凑性。此外，我们还研究了这些算子应用于 Lipschitz 版本的 Dales-Davie 对象时的类似性质。

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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来源期刊

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.