PreprintCC BY 4.0arXiv
Bell-shaped functions are Poisson kernels
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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BibTeX
@misc{kwasnicki2026bellshaped,
title = {{Bell-shaped functions are Poisson kernels}},
author = {Mateusz Kwaśnicki},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.01717},
eprint = {2610.01717},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.01717},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Bell-shaped functions are Poisson kernels
AU - Mateusz Kwaśnicki
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.01717
UR - https://arxiv.org/abs/2610.01717
AB - 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.
ER -