Bell-shaped functions are Poisson kernels

Mateusz Kwaśnicki

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arXiv · 2610.01717

Bell-shaped functions are Poisson kernels

Mateusz Kwaśnicki

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Abstract

In a recent paper [Kwaśnicki, Poisson kernels on the half-plane are bell-shaped, Bull. London Math. Soc. 58 (2026), no. e70303], the author proved that Poisson kernels for a class of elliptic operators in the half-plane are bell-shaped. By allowing one-sided barriers, we prove a converse result.

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Mateusz Kwaśnicki. 2026-10-01. Bell-shaped functions are Poisson kernels. https://arxiv.org/abs/2610.01717

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