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Open Journal of Mathematical Sciences (OMS)

ISSN: 2523-0212 (Online) 2616-4906 (Print)
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  • Research article

Path-connected components of the space of generalized integration operators on Fock spaces

Mafuz Worku1, Jemal Yesuf2
1Department of Mathematics, Jimma University, Ethiopia
2Department of Mathematics, Samara University, Ethiopia
Copyright © Mafuz Worku, Jemal Yesuf. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • Received: 10/12/2025
  • Accepted: 08/01/2026
  • Published: 22/01/2026

Abstract

We characterize the boundedness and compactness of generalized integration operators acting between Fock spaces and apply these characterizations to investigate the path-connected components and the singleton of path-connected components of the space of bounded generalized integration operators. Moreover, we describe the essential norm of these operators.

Keywords: Fock spaces, generalized integration operator, bounded, compact, essential norm, path-connected components