On pseudospheres that are quasispheres.

John L. Lewis; Andrew Vogel

Revista Matemática Iberoamericana (2001)

  • Volume: 17, Issue: 2, page 221-255
  • ISSN: 0213-2230

Abstract

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We construct bounded domains D not equal to a ball in n ≥ 3 dimensional Euclidean space, Rn, for which ∂D is homeomorphic to a sphere under a quasiconformal mapping of Rn and such that n - 1 dimensional Hausdorff measure equals harmonic measure on ∂D.

How to cite

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Lewis, John L., and Vogel, Andrew. "On pseudospheres that are quasispheres.." Revista Matemática Iberoamericana 17.2 (2001): 221-255. <http://eudml.org/doc/39678>.

@article{Lewis2001,
abstract = {We construct bounded domains D not equal to a ball in n ≥ 3 dimensional Euclidean space, Rn, for which ∂D is homeomorphic to a sphere under a quasiconformal mapping of Rn and such that n - 1 dimensional Hausdorff measure equals harmonic measure on ∂D.},
author = {Lewis, John L., Vogel, Andrew},
journal = {Revista Matemática Iberoamericana},
keywords = {Espacio euclídeo; Aplicaciones cuasiconformes; Dominios acotados; Pseudoesferas; pseudosphere; quasisphere; harmonic measure; Hausdorff measure; Green function},
language = {eng},
number = {2},
pages = {221-255},
title = {On pseudospheres that are quasispheres.},
url = {http://eudml.org/doc/39678},
volume = {17},
year = {2001},
}

TY - JOUR
AU - Lewis, John L.
AU - Vogel, Andrew
TI - On pseudospheres that are quasispheres.
JO - Revista Matemática Iberoamericana
PY - 2001
VL - 17
IS - 2
SP - 221
EP - 255
AB - We construct bounded domains D not equal to a ball in n ≥ 3 dimensional Euclidean space, Rn, for which ∂D is homeomorphic to a sphere under a quasiconformal mapping of Rn and such that n - 1 dimensional Hausdorff measure equals harmonic measure on ∂D.
LA - eng
KW - Espacio euclídeo; Aplicaciones cuasiconformes; Dominios acotados; Pseudoesferas; pseudosphere; quasisphere; harmonic measure; Hausdorff measure; Green function
UR - http://eudml.org/doc/39678
ER -

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