Weighted Bergman projections on the Hartogs triangle

详细信息    查看全文

• 作者：Liwei Chen ^{chen.1690@osu.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Hartogs triangle ; Bergman projection ; LpLp regularity ; Ap+-condition
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：446
• 期：1
• 页码：546-567
• 全文大小：512 K

文摘

We prove the L^p regularity of the weighted Bergman projections on the Hartogs triangle, where the weights are powers of the distance to the singularity at the boundary. The restricted range of p is proved to be sharp. By using a two-weight inequality on the upper half plane with Muckenhoupt weights, we can consider a slightly wider class of weights.