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arXiv · 1410.6205

Weighted Bergman Projection on the Hartogs Triangle

Liwei Chen
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Abstract

We prove the $L^p$ regularity of the weighted Bergman projection on the Hartogs triangle, where the weights are powers of the distance to the singularity at the boundary. The restricted range of $p$ is proved to be sharp. By using a two-weight inequality on the upper half plane with Muckenhoupt weights, we can consider a slightly wider class of weights.

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BibTeXRIS

Liwei Chen. 2014-10-22. Weighted Bergman Projection on the Hartogs Triangle. https://doi.org/10.1016/j.jmaa.2016.08.065

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