Stein's theorem on infinite type domains
Complex Variables
2023-10-19 v1 Classical Analysis and ODEs
Abstract
The disc property is formulated for domains in . Holomorphic Lipschitz functions enjoy a gain in the order of Lipschitz regularity along the complex tangential direction on domains with disc property. Disc property is studied on various domains of infinite type. As applications, the local version of Stein's theorem is obtained on these domains, including the worm domains.
Cite
@article{arxiv.2310.11623,
title = {Stein's theorem on infinite type domains},
author = {Liwei Chen and Yuan Yuan},
journal= {arXiv preprint arXiv:2310.11623},
year = {2023}
}
Comments
To appear in Comm. Anal. Geom., 17 pages