| Autor: |
Bellavita, Carlo, Daskalogiannis, Vassilis, Miihkinen, Santeri, Norrbo, David, Stylogiannis, Georgios, Virtanen, J. A. |
| Rok vydání: |
2024 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
In this article we study the generalized Hilbert matrix operator $\Gamma_\mu$ acting on the Bergman spaces $A^p$ of the unit disc for $1\leq p<\infty$. In particular, we characterize the measures $\mu$ for which the operator $\Gamma_\mu$ is bounded and we provide estimates of its operator norm. Finally, we also describe when $\Gamma_\mu$ is compact by computing its essential norm. |
| Databáze: |
arXiv |
| Externí odkaz: |
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