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L regularity of the Bergman projection on domains covered by the polydisc
Journal of Functional Analysis ( IF 1.7 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.jfa.2020.108522
Liwei Chen , Steven G. Krantz , Yuan Yuan

Abstract If a bounded domain can be covered by the polydisc through a rational proper holomorphic map, then the Bergman projection is L p -bounded for p in a non trivial interval depending on the ramified rational covering. This result can be applied to the symmetrized polydisc and to the Hartogs triangle with exponent γ.

中文翻译:

多圆盘覆盖域上的伯格曼投影的 L 规律性

摘要 如果一个有界域可以通过一个有理真全纯映射被多圆盘覆盖,那么伯格曼投影对于 p 在一个非平凡的区间内是 L p 有界的,这取决于分枝有理覆盖。这个结果可以应用于对称多圆盘和指数为 γ 的 Hartogs 三角形。
更新日期:2020-08-01
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