Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (1): 1-13.

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Composition Operators on $ \boldsymbol{H^{p,q,s}}({\Bbb D})$

Hongxin Chen(),Xuejun Zhang*(),Min Zhou   

  1. College of Mathematics and Statistics, Hunan Normal University, Changsha 410006
  • Received:2022-05-02 Revised:2022-08-05 Online:2023-02-26 Published:2023-03-07
  • Supported by:
    The NSFC(11942109);The NSFH(2022JJ30369)


Let $\varphi$ be an analytic self-map of the unit disc ${\Bbb D}$ in the complex plane ${\Bbb C}$. In this paper, the authors characterize those symbols $\varphi$ such that composition operators $C_{\varphi}$ are bounded or compact on the general Hardy type space $H^{p,q,s}({\Bbb D})$.

Key words: Composition operator, Boundedness, Compactness, General Hardy type space, Unit disc

CLC Number: 

  • O174.56