Weak-type regularity of the Bergman projection on rational Hartogs triangles

Christopherson, Adam; Koenig, Kenneth

doi:10.1090/proc/16215

Weak-type regularity of the Bergman projection on rational Hartogs triangles
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by Adam B. Christopherson and Kenneth D. Koenig;

Proc. Amer. Math. Soc. 151 (2023), 1643-1653

DOI: https://doi.org/10.1090/proc/16215

Published electronically: January 30, 2023

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Abstract:

For the rational power-generalized Hartogs triangles in $\mathbb {C}^2$, we give a complete characterization of the weak-type regularity of the Bergman projection at the upper and lower endpoints of $L^p$ boundedness. Our result extends work of Huo-Wick for the classical Hartogs triangle by showing that the Bergman projection satisfies a weak-type estimate only at the upper endpoint of $L^p$ boundedness.

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