A Cesàro-like Operator from Besov Spaces to Some Spaces of Analytic Functions

IF 0.6 4区数学 Q3 MATHEMATICS

Computational Methods and Function Theory Pub Date : 2024-05-15 DOI:10.1007/s40315-024-00542-7

Fangmei Sun, Fangqin Ye, Liuchang Zhou

引用次数: 0

Abstract

In this paper, for \(p>1\) and \(s>1\), we characterize completely the boundedness and compactness of a Cesàro-like operator from the Besov space \(B_p\) into a Banach space X between the mean Lipschitz space \(\Lambda ^s_{1/s}\) and the Bloch space. In particular, for \(p=s=2\), we complete a previous result from the literature.

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从贝索夫空间到某些解析函数空间的类塞萨洛算子

在本文中，对于\(p>1\)和\(s>1\)，我们完全描述了从贝索夫空间\(B_p\)到介于平均利普齐兹空间\(\Lambda ^s_{1/s}\)和布洛赫空间之间的巴拿赫空间X的类塞萨罗算子的有界性和紧凑性。特别是，对于 \(p=s=2\)，我们完成了之前文献中的一个结果。

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

Computational Methods and Function Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： CMFT is an international mathematics journal which publishes carefully selected original research papers in complex analysis (in a broad sense), and on applications or computational methods related to complex analysis. Survey articles of high standard and current interest can be considered for publication as well.