E-resources
Peer reviewed
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Shuo Zhang
Taehan Suhakhoe hoebo, 11/2021Journal Article
The $n$-dimensional generalized Hartogs triangles $\mathbb{H}_{\textbf{p}}^n$ with $n\geq2$ and $\textbf{p}:=(p_1,\ldots,p_n)\in(\mathbb{R}^+)^n$ are the domains defined by $$\mathbb{H}_{\textbf{p}}^n:=\{z=(z_1,\ldots,z_n)\in\mathbb{C}^n:|z_1|^{p_1}<\cdots<|z_n|^{p_n}<1\}.$$ In this paper, we study the $L^p$ Sobolev mapping properties for the \linebreak Bergman projections on the $n$-dimensional generalized Hartogs triangles $\mathbb{H}_{\textbf{p}}^n$, which can be viewed as a continuation of the work by S. Zhang in \cite{Zhang1} and a higher-dimensional generalization of the work by L. D. Edholm and J. D. McNeal in \cite{Edh3}. KCI Citation Count: 0
