$L^p$ regularity of the Bergman Projection on domains covered by the polydisk

Liwei Chen; Steven G. Krantz; Yuan Yuan

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arXiv · 1903.10497

$L^p$ regularity of the Bergman Projection on domains covered by the polydisk

Liwei Chen·Steven G. Krantz·Yuan Yuan

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Abstract

If a bounded domain can be covered by the polydisk through a rational proper holomorphic map, then the Bergman projection is $L^p$-bounded for $p$ in a certain range depending on the ramified rational covering. This result can be applied to the symmetrized polydisk and to the Hartogs triangle with exponent $\gamma$.

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Liwei Chen, Steven G. Krantz, Yuan Yuan. 2019-03-25. $L^p$ regularity of the Bergman Projection on domains covered by the polydisk. https://arxiv.org/abs/1903.10497

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