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

The $L^p$ boundedness of the Bergman projection for a class of bounded Hartogs domains
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DOI:
10.1016/j.jmaa.2016.11.024
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发表时间:
2013-04
期刊:
arXiv: Complex Variables
影响因子:
--
通讯作者:
Liwei Chen
Liwei Chen
中科院分区:
其他
文献类型:
--
作者:
Liwei Chen

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我们将Hartogs三角形推广到一类有界Hartogs域,并证明了相应的Bergman投影在L p上有界当且仅当p在(2n n+ 1,2n n - 1)范围内。
We generalize the Hartogs triangle to a class of bounded Hartogs domains, and we prove that the corresponding Bergman projection is bounded on L p if and only if p is in the range (2 n n+ 1, 2 n n− 1).