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Generalized Volterra integral operators on weighted Fock spaces induced by A -type weights

  • Chunxu Xu EMAIL logo
Published/Copyright: July 18, 2025
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Abstract

In this paper, we study the generalized Volterra integral operators

T g n , m f ( z ) = 0 z f ( n ) ( w ) g ( m ) ( w ) 𝑑 w

acting on the weighted Fock spaces F α , ω p , where ω is a weight satisfying certain restricted A -conditions. Using a unified approach, the boundedness, compactness, and essential norm of the generalized Volterra integral operators T g n , m : F α , ω 1 p F β , ω 2 q for all 0 < p , q < are completely characterized. As an application, we generalize our results to the Fock–Sobolev-type spaces.

MSC 2020: 47G10; 30H20

Award Identifier / Grant number: 12401154

Funding statement: The work was supported by National Natural Science Foundation of China (No. 12401154).

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Received: 2024-11-08
Revised: 2025-04-05
Accepted: 2024-04-10
Published Online: 2025-07-18

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