解析函数的某些banach空间上的广义积分算子

IF 0.9 4区数学 Q2 MATHEMATICS Journal of Integral Equations and Applications Pub Date : 2023-10-01 DOI:10.1216/jie.2023.35.339

Mingshan Li, Zhenyou Wang

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引用次数: 0

摘要

在2020年，Chalmoukis引入了Volterra算子的推广，并研究了它在Hardy空间上的有界性和紧性。受Chalmoukis(2020)、Li, Liu and Lou(2014)和Li, Liu and Yuan(2020)的启发，我们研究了解析Morrey空间和Dirichlet型空间上广义Volterra算子的有界性和紧性。

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GENERALIZED INTEGRATION OPERATORS ON SOME BANACH SPACES OF ANALYTIC FUNCTIONS

In 2020, Chalmoukis introduced a generalization of the Volterra operator and studied its boundedness and compactness on Hardy spaces. Inspired by Chalmoukis (2020), Li, Liu and Lou (2014), and Li, Liu and Yuan (2020), we study the boundedness and compactness of the generalized Volterra operator on analytic Morrey spaces and Dirichlet type spaces.

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来源期刊

Journal of Integral Equations and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their applications. The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations, and to influence and shape developments in this field. The Editors aim at maintaining a balanced coverage between theory and applications, between existence theory and constructive approximation, and between topological/operator-theoretic methods and classical methods in all types of integral equations. The journal is expected to be an excellent source of current information in this area for mathematicians, numerical analysts, engineers, physicists, biologists and other users of integral equations in the applied mathematical sciences.