𝐿^{𝑝} mapping properties of the Bergman projection on the Hartogs triangle

Chakrabarti, Debraj; Zeytuncu, Yunus

doi:10.1090/proc/12820

$L^p$ mapping properties of the Bergman projection on the Hartogs triangle
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by Debraj Chakrabarti and Yunus E. Zeytuncu PDF

Proc. Amer. Math. Soc. 144 (2016), 1643-1653 Request permission

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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