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arXiv · 1909.00635

A proof of the generalized Khavinson conjecture

Congwen Liu
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Abstract

We give a complete proof of the generalized Khavinson conjecture which states that, for bounded harmonic functions on the unit ball of $\mathbb{R}^n$, the sharp constants in the estimates for their radial derivatives and for their gradients coincide.

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Congwen Liu. 2019-09-02. A proof of the generalized Khavinson conjecture. https://arxiv.org/abs/1909.00635

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