Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (5): 1373-1380.

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Generalized Volterra-type Integration Operators on Harmonic Fock Space

Kaixin Deng1,Yuxia Liang1,*(),Zicong Yang2   

  1. 1School of Mathematical Sciences, Tianjin Normal Univerisity, Tianjin 300387
    2School of Science, Hebei University of Technology, Tianjin 300131
  • Received:2024-11-03 Revised:2025-05-20 Online:2025-10-26 Published:2025-10-14
  • Supported by:
    NSFC(12471126)

Abstract:

The Volterra-type integration operator plays an essential role in modern complex analysis and operator theory. We introduce two natural extensions of Volterra type integration operators acting on harmonic Fock spaces and study their boundedness, compactness and rigidity.

Key words: harmonic Fock space, boundedness, compactness, rigidity

CLC Number: 

  • O177.6
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