The Martin compactification of a plane domain

Nikolai S. Nadirashvili

Annales de l'institut Fourier (1994)

  • Volume: 44, Issue: 5, page 1351-1354
  • ISSN: 0373-0956

Abstract

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We prove that the Martin compactification of a plane domain is homeomorphic to a subset of the two-dimensional sphere.

How to cite

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Nadirashvili, Nikolai S.. "The Martin compactification of a plane domain." Annales de l'institut Fourier 44.5 (1994): 1351-1354. <http://eudml.org/doc/75100>.

@article{Nadirashvili1994,
abstract = {We prove that the Martin compactification of a plane domain is homeomorphic to a subset of the two-dimensional sphere.},
author = {Nadirashvili, Nikolai S.},
journal = {Annales de l'institut Fourier},
keywords = {Martin boundary; plane domain},
language = {eng},
number = {5},
pages = {1351-1354},
publisher = {Association des Annales de l'Institut Fourier},
title = {The Martin compactification of a plane domain},
url = {http://eudml.org/doc/75100},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Nadirashvili, Nikolai S.
TI - The Martin compactification of a plane domain
JO - Annales de l'institut Fourier
PY - 1994
PB - Association des Annales de l'Institut Fourier
VL - 44
IS - 5
SP - 1351
EP - 1354
AB - We prove that the Martin compactification of a plane domain is homeomorphic to a subset of the two-dimensional sphere.
LA - eng
KW - Martin boundary; plane domain
UR - http://eudml.org/doc/75100
ER -

References

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  1. [1] J.L. DOOB, Classical potential theory and its probabilistic counterpart, Springer, 1984. Zbl0549.31001MR85k:31001
  2. [2] N.S. NADIRASHVILI, Multiple eigenvalues of the Laplace operator (Russian), Matem. Sb., 133 (175), 1987 ; English translation in Math. USSR Sbornik, 61 (1988), 225-238. Zbl0672.35049MR89a:58113

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