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Weighted Bergman Projection on the Hartogs Triangle (1410.6205v2)

Published 22 Oct 2014 in math.CV and math.CA

Abstract: We prove the $Lp$ 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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