Abstract
The disc property is formulated for domains in Cn. 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.
Original language | English (US) |
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Pages (from-to) | 1233-1254 |
Number of pages | 22 |
Journal | Communications in Analysis and Geometry |
Volume | 32 |
Issue number | 5 |
DOIs | |
State | Published - 2024 |
ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty