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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.07748 |
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Table of Contents:
- In this paper, we study Hausdorff operator $\mathcal{H}_μ$ on a large class of weighted mixed norm Fock spaces $F_ϕ^{p,q}$ for $1\leq p,q\leq\infty$. The boundedness and compactness of $\mathcal{H}_μ$ on $F_ϕ^{p,q}$ are characterized. As applications, we give when Hausdorff operator on $F_ϕ^{p,q}$ is power bounded or uniformly mean ergodic.