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

Qianyun Wang; Yuan Yuan; Xu Zhang

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

Complex Variables 2026-01-21 v2

Authors: Qianyun Wang , Yuan Yuan , Xu Zhang

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.

Keywords

pseudoconvex domains sobolev regularity of partial differential equations regularity theory

Cite

@article{arxiv.2506.10372,
  title  = {Sobolev regularity for the $\overline\partial$-Neumann operator and transverse vector fields},
  author = {Qianyun Wang and Yuan Yuan and Xu Zhang},
  journal= {arXiv preprint arXiv:2506.10372},
  year   = {2026}
}

Comments

Corrected a mistake in the previous version

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