关于广义莫比乌斯不变函数空间

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-10-22 DOI:10.1016/j.jmaa.2024.128979

Xiaojing Zhou

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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

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.