Local Bounds for Orders of Contact and a Conjecture about Subellipticity

John P. D'Angelo

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This work describes the local geometry of a real hypersurface of ℂn, and how it relates to subelliptic estimates for the ∂¯-Neumann problem. The geometric results appear in (3,5); the results on subellipticity appear in the works of Kohn (7,8) and Catlin (1,2). In this paper we formulate a conjecture about the interplay between these subjects.
Original languageEnglish (US)
Title of host publicationSeveral Complex Variables
Subtitle of host publicationProceedings of the 1981 Hangzhou Conference
EditorsJ J Kohn, R Remmert, Q-K Lu, Y-T Siu
PublisherBirkhauser Boston
Number of pages6
ISBN (Electronic)978-1-4612-5296-2
ISBN (Print)978-0-8176-3189-5
StatePublished - 1984


  • Neumann Problem
  • Pseudoconvex Domain
  • Real Hypersurface
  • Local Bound
  • Maximum Order


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