Sobolev regularity for the $\overline\partial$-Neumann operator and transverse vector fields

Qianyun Wang; Yuan Yuan; Xu Zhang

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arXiv · 2506.10372

Sobolev regularity for the $\overline\partial$-Neumann operator and transverse vector fields

Qianyun Wang·Yuan Yuan·Xu Zhang

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Abstract

On a bounded smooth pseudoconvex domain in $\mathbb{C}^n$ with $n >2$, inspired by the compactness condition introduced by Yue Zhang, we present the new sufficient condition for the exact regularity of the $\overline\partial$-Neumann operator via the transverse vector fields.

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Qianyun Wang, Yuan Yuan, Xu Zhang. 2025-06-12. Sobolev regularity for the $\overline\partial$-Neumann operator and transverse vector fields. https://arxiv.org/abs/2506.10372

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