Local Bounds for Orders of Contact and a Conjecture about Subellipticity

John P. D'Angelo

doi:10.1007/978-1-4612-5296-2_3

Local Bounds for Orders of Contact and a Conjecture about Subellipticity

John P. D'Angelo

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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 language	English (US)
Title of host publication	Several Complex Variables
Subtitle of host publication	Proceedings of the 1981 Hangzhou Conference
Editors	J J Kohn, R Remmert, Q-K Lu, Y-T Siu
Publisher	Birkhauser Boston
Pages	13-18
Number of pages	6
ISBN (Electronic)	978-1-4612-5296-2
ISBN (Print)	978-0-8176-3189-5
DOIs	https://doi.org/10.1007/978-1-4612-5296-2_3
State	Published - 1984

Keywords

Neumann Problem
Pseudoconvex Domain
Real Hypersurface
Local Bound
Maximum Order

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10.1007/978-1-4612-5296-2_3

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title = "Local Bounds for Orders of Contact and a Conjecture about Subellipticity",

abstract = "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.",

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N2 - 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.

AB - 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.

KW - Neumann Problem

KW - Pseudoconvex Domain

KW - Real Hypersurface

KW - Local Bound

KW - Maximum Order

U2 - 10.1007/978-1-4612-5296-2_3

DO - 10.1007/978-1-4612-5296-2_3

M3 - Conference contribution

SN - 978-0-8176-3189-5

SP - 13

EP - 18

BT - Several Complex Variables

A2 - Kohn, J J

A2 - Remmert, R

A2 - Lu, Q-K

A2 - Siu, Y-T

PB - Birkhauser Boston

ER -

Local Bounds for Orders of Contact and a Conjecture about Subellipticity

Abstract

Keywords

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