Article
| Title: | Area differences under analytic maps and operators (English) |
| Author: | Çelik, Mehmet |
| Author: | Duane-Tessier, Luke |
| Author: | Marcial Rodriguez, Ashley |
| Author: | Rodriguez, Daniel |
| Author: | Shaw, Aden |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 74 |
| Issue: | 3 |
| Year: | 2024 |
| Pages: | 817-838 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Motivated by the relationship between the area of the image of the unit disk under a holomorphic mapping $h$ and that of $zh$, we study various $L^2$ norms for $T_{\varphi }(h)$, where $T_{\varphi }$ is the Toeplitz operator with symbol $\varphi $. In Theorem \ref {thm:Transitivity}, given polynomials $p$ and $q$ we find a symbol $\varphi $ such that $T_{\varphi }(p)=q$. We extend some of our results to the polydisc. (English) |
| Keyword: | unit disk |
| Keyword: | polydisc |
| Keyword: | polynomial |
| Keyword: | Toeplitz operator |
| Keyword: | Bergman projection |
| MSC: | 30H05 |
| MSC: | 30J99 |
| MSC: | 32A36 |
| MSC: | 47B35 |
| DOI: | 10.21136/CMJ.2024.0023-24 |
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| Date available: | 2024-10-03T12:37:43Z |
| Last updated: | 2024-10-04 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152583 |
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