Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (3): 884-906.

Previous Articles     Next Articles

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

Weiyi Liu1,2()   

  1. 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)

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.

CLC Number: 

  • O177.2
Trendmd