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$L^p$ Mapping Properties of the Bergman Projection on the Hartogs Triangle (1410.1105v2)

Published 5 Oct 2014 in math.CV

Abstract: We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted $Lp$ spaces when $p>\frac{4}{3}$, where the weight is a power of the distance to the singular boundary point. For $1<p\leq\frac{4}{3}$ we show that no such weighted estimates are possible.

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