The L^p boundedness of the Bergman projection for a class of bounded Hartogs domains

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• 作者：Liwei Chen ^{chen.1690@osu.edu}
• 关键词：Hartogs domains ; Bergman projection
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：448
• 期：1
• 页码：598-610
• 全文大小：350 K
• 卷排序：448

文摘

We generalize the Hartogs triangle to a class of bounded Hartogs domains, and we prove that the corresponding Bergman projection is bounded on LpLp if and only if p   is in the range (2nn+1,2nn−1).