从 Bloch 型空间到一些 $\alpha$-Möbius 不变空间的复合算子

数学物理学报 ›› 2026, Vol. 46 ›› Issue (3): 884-906.

从 Bloch 型空间到一些 $\alpha$-Möbius 不变空间的复合算子

刘炜祎¹^,²()

¹ 韩山师范学院数学与统计学院广东潮州 521041
² 汕头大学数学系广东汕头 515821

收稿日期:2024-12-16 修回日期:2025-09-30 出版日期:2026-06-26 发布日期:2026-06-16
作者简介:刘炜祎, E-mail:1620117920@qq.com
基金资助:
国家自然科学基金(11223344)

Composition Operators from Bloch Type Spaces into Some $\alpha$-Möbius Invariant Spaces

Weiyi Liu¹^,²()

¹ College of Mathematics and Statistics, Hanshan Normal University, Guangdong Chaozhou 521041
² Department of Mathematics, Shantou University, Guangdong Shantou 515821

Received:2024-12-16 Revised:2025-09-30 Online:2026-06-26 Published:2026-06-16
Supported by:
NSFC(11223344)

摘要/Abstract

摘要：

该文给出了从 Bloch 型空间到加权 Dirichlet 型空间 $D_{\mu }^{p}$ ($1\le p<\infty$) 和它们的两类 $\alpha$-Möbius 不变子空间 ($0< \alpha< \infty$) 的复合算子 $C_{\varphi}$ 的有界性、紧性和弱紧性的刻画.

关键词: 复合算子, 有界性, 紧性, 弱紧性, $\alpha$-M?bius 不变子空间.

Abstract:

This paper gives characterizations of the boundedness, compactness and weak compactness of composition operators $C_{\varphi}$ from Bloch-type spaces to weighted Dirichlet-type spaces $D_{\mu }^{p}$ ($1\le p<\infty$) and their two classes of $\alpha$-Möbius invariant subspaces ($0< \alpha< \infty$).

Key words: composition operators, boundedness, compactness, weak compactness, $\alpha$-M?bius invariant subspaces.

中图分类号:

O177.2

刘炜祎. 从 Bloch 型空间到一些 $\alpha$-Möbius 不变空间的复合算子[J]. 数学物理学报, 2026, 46(3): 884-906.

Weiyi Liu. Composition Operators from Bloch Type Spaces into Some $\alpha$-Möbius Invariant Spaces[J]. Acta mathematica scientia,Series A, 2026, 46(3): 884-906.

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