关于广义莫比乌斯不变函数空间

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-22 DOI:10.1016/j.jmaa.2024.128979

Xiaojing Zhou

引用次数: 0

摘要

在本文中，我们介绍了一类新的单位盘中解析函数的广义莫比乌斯函数空间，其中包含 Bα、Bαp、BMOApα 和 F(p,pα-2,s) 等特例。我们研究了这些新空间的几个基本性质，并通过卡列森类型度量描述了这些空间的特征。至于一些应用，我们研究了相应的小欧空间，并建立了这些新空间与布洛赫型空间的几种嵌入关系。我们的结果概括了 Zhu 在 2007 年的一项早期工作。

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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On a generalized Möbius invariant function space

In this paper, we introduce a new class of generalized Möbius function space of analytic functions in the unit disk, that contains

B_{α}

B_{α}^{p}

{BMOA}_{p}^{α}

, and

F (p, p α - 2, s)

as particular cases. We study several basic properties of such new spaces and also characterize these spaces via Carleson-type measures. As for some applications, we study the corresponding little-o spaces, as well as establish several embedding relations of these new spaces with Bloch-type spaces. Our result generalizes an early work of Zhu in 2007.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.