Hausdorff operators on weighted mixed norm Fock spaces

Yongqing Liu

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arXiv · 2410.07748

Hausdorff operators on weighted mixed norm Fock spaces

Yongqing Liu

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Abstract

In this paper, we study Hausdorff operator $\mathcal{H}_\mu$ on a large class of weighted mixed norm Fock spaces $F_\phi^{p,q}$ for $1\leq p,q\leq\infty$. The boundedness and compactness of $\mathcal{H}_\mu$ on $F_\phi^{p,q}$ are characterized. As applications, we give when Hausdorff operator on $F_\phi^{p,q}$ is power bounded or uniformly mean ergodic.

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BibTeX RIS

Yongqing Liu. 2024-10-10. Hausdorff operators on weighted mixed norm Fock spaces. https://arxiv.org/abs/2410.07748

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