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arXiv · 1504.05432

Necessary conditions for Hölder regularity gain of d-bar equation in C^3

Young Hwan You
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Abstract

Suppose that a smooth holomorphic curve $V$ has order of contact $η$ at a point $w_0$ in the boundary of a pseudoconvex domain $Ω$ in $\mathbb{C}^3.$ We show that the maximal gain in Hölder regularity for solutions of the $\bar{\partial}$-equation is at most $\frac{1}η.$

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Young Hwan You. 2015-04-21. Necessary conditions for Hölder regularity gain of d-bar equation in C^3. https://arxiv.org/abs/1504.05432

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