Stein's theorem on infinite type domains

Liwei Chen, Yuan Yuan

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)1233-1254
Number of pages22
JournalCommunications in Analysis and Geometry
Volume32
Issue number5
DOIs
StatePublished - 2024

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Geometry and Topology
  • Statistics, Probability and Uncertainty

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