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arXiv · 1410.1105

$L^p$ Mapping Properties of the Bergman Projection on the Hartogs Triangle

Debraj Chakrabarti·Yunus E. Zeytuncu
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Abstract

We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted $L^p$ 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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Debraj Chakrabarti, Yunus E. Zeytuncu. 2015-05-06. $L^p$ Mapping Properties of the Bergman Projection on the Hartogs Triangle. https://arxiv.org/abs/1410.1105

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