Article
| Title: | Commuting Toeplitz operators with harmonic symbols on the Fock-Sobolev space (English) |
| Author: | Qin, Jie |
| Author: | Liu, Youqi |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 3 |
| Year: | 2025 |
| Pages: | 807-820 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We make a progress towards describing the commuting Toeplitz operators with harmonic symbols on the Fock-Sobolev space. For the certain symbol space, we obtain two Toeplitz operators with harmonic symbols commuting only in the obvious cases, which is different from the known result in the Fock space. (English) |
| Keyword: | commuting Toeplitz operator |
| Keyword: | Berezin transform |
| Keyword: | Fock-Sobolev space |
| MSC: | 47B35 |
| DOI: | 10.21136/CMJ.2025.0398-24 |
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| Date available: | 2025-09-19T11:49:02Z |
| Last updated: | 2025-09-22 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153053 |
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| Reference: | [11] Qin, J.: Semi-commuting Toeplitz operators on Fock-Sobolev spaces.Bull. Sci. Math. 179 (2022), Article ID 103156, 19 pages. Zbl 07574664, MR 4436349, 10.1016/j.bulsci.2022.103156 |
| Reference: | [12] Qin, J.: Semi-commutants of Toeplitz operators on Fock-Sobolev space of nonnegative orders.Complex Anal. Oper. Theory 18 (2024), Article ID 137, 24 pages. Zbl 07898612, MR 4782214, 10.1007/s11785-024-01574-6 |
| Reference: | [13] Qin, J.: Semi-commutants of Toeplitz operators on the Fock-Sobolev space.(to appear) in Indian J. Pure. Appl. Math. 10.1007/s13226-024-00605-4 |
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