A symmetry theorem revisited

John Lewis; Andrew Vogel

doi:10.1090/S0002-9939-01-06200-1

A symmetry theorem revisited

John Lewis, Andrew Vogel

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We show that if harmonic measure and Hausdorff measure are equal on the boundary of certain domains in Euclidean n-space, then these domains are necessarily balls.

Original language	English (US)
Pages (from-to)	443-451
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	130
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-01-06200-1
State	Published - 2002
Externally published	Yes

Keywords

Dirichlet problem
Green's function
Harmonic measure
Hausdorff measure
Quasiconformal

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9939-01-06200-1

Cite this

@article{4b09db1705f54a079c3ea8e81e1c3586,

title = "A symmetry theorem revisited",

abstract = "We show that if harmonic measure and Hausdorff measure are equal on the boundary of certain domains in Euclidean n-space, then these domains are necessarily balls.",

keywords = "Dirichlet problem, Green's function, Harmonic measure, Hausdorff measure, Quasiconformal",

author = "John Lewis and Andrew Vogel",

year = "2002",

doi = "10.1090/S0002-9939-01-06200-1",

language = "English (US)",

volume = "130",

pages = "443--451",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - A symmetry theorem revisited

AU - Lewis, John

AU - Vogel, Andrew

PY - 2002

Y1 - 2002

N2 - We show that if harmonic measure and Hausdorff measure are equal on the boundary of certain domains in Euclidean n-space, then these domains are necessarily balls.

AB - We show that if harmonic measure and Hausdorff measure are equal on the boundary of certain domains in Euclidean n-space, then these domains are necessarily balls.

KW - Dirichlet problem

KW - Green's function

KW - Harmonic measure

KW - Hausdorff measure

KW - Quasiconformal

UR - http://www.scopus.com/inward/record.url?scp=0035994215&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035994215&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-01-06200-1

DO - 10.1090/S0002-9939-01-06200-1

M3 - Article

AN - SCOPUS:0035994215

SN - 0002-9939

VL - 130

SP - 443

EP - 451

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

A symmetry theorem revisited

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this