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arXiv · 1502.04282

Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle

Liwei Chen
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Abstract

We prove a weighted Sobolev estimate of the Bergman projection on the Hartogs triangle, where the weight is some power of the distance to the singularity at the boundary. This method also applies to the $n$-dimensional generalization of the Hartogs triangle.

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Liwei Chen. 2015-02-15. Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle. https://doi.org/10.2140/pjm.2017.288.307

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