Vol. 288, No. 2, 2017

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Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle

Liwei Chen

Vol. 288 (2017), No. 2, 307–318
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.

Keywords
Hartogs triangle, Bergman projection, Sobolev regularity
Mathematical Subject Classification 2010
Primary: 32A07, 32A25, 32A50