Essential norm and Schatten class of Hankel operators between weighted Fock spaces
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918125940768768 |
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| author | Liu, Yi Lu, Yufeng |
| author_facet | Liu, Yi Lu, Yufeng |
| contents | In this paper, we characterize the essential norm of Hankel operators from a weighted Fock space $F_φ^{p}$ to a weighted Lebesgue space $L_φ^{q}$ for all $1 \leq p, q < \infty$. Additionally, we characterize the Schatten-$h$ class membership for Hankel operators acting from $F_φ^{2}$ to $L_φ^{2}$, where the class is defined by a continuous increasing convex function $h$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11882 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Essential norm and Schatten class of Hankel operators between weighted Fock spaces Liu, Yi Lu, Yufeng Functional Analysis 47B35, 47B10 In this paper, we characterize the essential norm of Hankel operators from a weighted Fock space $F_φ^{p}$ to a weighted Lebesgue space $L_φ^{q}$ for all $1 \leq p, q < \infty$. Additionally, we characterize the Schatten-$h$ class membership for Hankel operators acting from $F_φ^{2}$ to $L_φ^{2}$, where the class is defined by a continuous increasing convex function $h$. |
| title | Essential norm and Schatten class of Hankel operators between weighted Fock spaces |
| topic | Functional Analysis 47B35, 47B10 |
| url | https://arxiv.org/abs/2508.11882 |