Proof of the generalized Chui conjecture

Egor Bezrukov

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arXiv · 2609.03134

Proof of the generalized Chui conjecture

Egor Bezrukov

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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.

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Egor Bezrukov. 2026-09-02. Proof of the generalized Chui conjecture. https://arxiv.org/abs/2609.03134

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