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arXiv · 1908.02192

Special Toeplitz operators on a class of bounded Hartogs domains

Yanyan Tang·Zhenhan Tu
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Abstract

We introduce a wider class of bounded Hartogs domains, which contains some generalizations of the classical Hartogs triangle. A sharp criteria for the $L^p-L^q$ boundedness of the Toeplitz operator with symbol $K^{-t}$ is obtained on these domains, where $K$ is the Bergman kernel on diagonal and $t\geq 0$. It generalizes the results by Chen and Beberok in the case $1<p<\infty$.

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Yanyan Tang, Zhenhan Tu. 2019-08-06. Special Toeplitz operators on a class of bounded Hartogs domains. https://arxiv.org/abs/1908.02192

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