Regularity of a $\bar\partial$-solution operator for strongly $\mathbf C$-linearly convex domains with minimal smoothness
Complex Variables
2021-01-26 v2
Abstract
We prove regularity of solutions of the -problem in the H\"older-Zygmund spaces of bounded, strongly -linearly convex domains of class . The proofs rely on a new, analytic characterization of said domains which is of independent interest, and on techniques that were recently developed by the first-named author to prove estimates for the -problem on strongly pseudoconvex domains of class .
Keywords
Cite
@article{arxiv.1911.06203,
title = {Regularity of a $\bar\partial$-solution operator for strongly $\mathbf C$-linearly convex domains with minimal smoothness},
author = {Xianghong Gong and Loredana Lanzani},
journal= {arXiv preprint arXiv:1911.06203},
year = {2021}
}
Comments
19 pages. The authors improve the exposition of the proof of Proposition 2.5 of this paper which has been published in JGEA