On the Commuting Problem of Toeplitz Operators on the Harmonic Bergman Space
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908420637982720 |
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| author | Iqtaish, H. Louhichi, I. Yousef, A. |
| author_facet | Iqtaish, H. Louhichi, I. Yousef, A. |
| contents | In this paper, we provide a complete characterization of bounded Toeplitz operators $T_f$ on the harmonic Bergman space of the unit disk, where the symbol $f$ has a polar decomposition truncated above, that commute with $T_{z+\bar{g}}$, for a bounded analytic function $g$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09112 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Commuting Problem of Toeplitz Operators on the Harmonic Bergman Space Iqtaish, H. Louhichi, I. Yousef, A. Complex Variables Operator Algebras Primary 47B35, Secondary 47L80 In this paper, we provide a complete characterization of bounded Toeplitz operators $T_f$ on the harmonic Bergman space of the unit disk, where the symbol $f$ has a polar decomposition truncated above, that commute with $T_{z+\bar{g}}$, for a bounded analytic function $g$. |
| title | On the Commuting Problem of Toeplitz Operators on the Harmonic Bergman Space |
| topic | Complex Variables Operator Algebras Primary 47B35, Secondary 47L80 |
| url | https://arxiv.org/abs/2503.09112 |