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Unions of John domains


Author: Jussi Väisälä
Journal: Proc. Amer. Math. Soc. 128 (2000), 1135-1140
MSC (2000): Primary 30C65
DOI: https://doi.org/10.1090/S0002-9939-99-05434-9
Published electronically: October 27, 1999
MathSciNet review: 1676349
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Abstract: We study the question: When is the union of John domains a John domain?


References [Enhancements On Off] (What's this?)

  • [Jo] F. John, Rotation and strain, Comm. Pure. Appl. Math. 14 (1961), 391-413. MR 25:1672
  • [MS] O. Martio and J. Sarvas, Injectivity theorems in plane and space, Ann. Acad. Sci. Fenn. Math. 4 (1978), 383-401. MR 81i:30039
  • [MV] O. Martio and M. Vuorinen, Whitney cubes, $p$-capacity, and Minkowski content, Exposition. Math. 5 (1987), 17-40. MR 88e:28004
  • [NV] R. Näkki and J. Väisälä, John disks, Exposition. Math. 9 (1991), 3-43. MR 92i:30021
  • [Ne] M.H.A. Newman, Elements of topology of plane sets of points, Cambridge University Press, 1961.

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Additional Information

Jussi Väisälä
Affiliation: Matematiikan laitos, Helsingin yliopisto, PL 4, 00014 Helsinki, Finland
Email: jussi.vaisala@helsinki.fi

DOI: https://doi.org/10.1090/S0002-9939-99-05434-9
Keywords: John domain
Received by editor(s): June 1, 1998
Published electronically: October 27, 1999
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 2000 American Mathematical Society

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