Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.23256 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911707846148096 |
|---|---|
| author | Jaguzović, Vladan Vujadinović, Đorđije |
| author_facet | Jaguzović, Vladan Vujadinović, Đorđije |
| contents | In this paper, we study Toeplitz operators with a positive symbol on pluriharmonic Fock spaces over $\mathbb{C}^{n}.$ We characterize the conditions under which the Toeplitz operator $T_μ$ is bounded, compact, or belongs to the Schatten class $S_1$. Furthermore, we give a necessary condition for a Toeplitz operator to belong to $S_p$ for $p \geq 1,$ and under an additional assumption, we prove the sufficiency of the condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23256 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Toeplitz operators on pluriharmonic Fock spaces Jaguzović, Vladan Vujadinović, Đorđije Complex Variables In this paper, we study Toeplitz operators with a positive symbol on pluriharmonic Fock spaces over $\mathbb{C}^{n}.$ We characterize the conditions under which the Toeplitz operator $T_μ$ is bounded, compact, or belongs to the Schatten class $S_1$. Furthermore, we give a necessary condition for a Toeplitz operator to belong to $S_p$ for $p \geq 1,$ and under an additional assumption, we prove the sufficiency of the condition. |
| title | Toeplitz operators on pluriharmonic Fock spaces |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2605.23256 |