Year: 2026
Type: preprint
Abstract: We prove Chui's conjecture on sums of Cauchy kernels. It states that among all configurations of Cauchy kernels on the unit disk, the equispaced one minimizes $L^1$ norm of the sum in the unit disk. Moreover, we obtain a generalization to a wider set of functionals, including weighted $L^p$ norms for $p > 1$ with radially symmetric weights.
Source: arXiv (Cornell University)
Author: Bezrukov, Egor
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7208713551
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