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arXiv · 2212.02713

A remark on a weighted version of Suita conjecture for higher derivatives

Qi'an Guan·Xun Sun·Zheng Yuan
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Abstract

In this article, we consider the set of points for the holding of the equality in a weighted version of Suita conjecture for higher derivatives, and give relations between the set and the integer valued points of a class of harmonic functions (maybe multi-valued). For planar domains bounded by finite analytic closed curves, we give relations between the set and Dirichlet problem.

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Qi'an Guan, Xun Sun, Zheng Yuan. 2022-12-06. A remark on a weighted version of Suita conjecture for higher derivatives. https://arxiv.org/abs/2212.02713

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