On a generalized Möbius invariant function space

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

Abstract

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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关于广义莫比乌斯不变函数空间

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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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

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