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Unions of John domains

Author(s): Jussi Väisälä
Journal: Proc. Amer. Math. Soc. 128 (2000), 1135-1140.
MSC (2000): Primary 30C65
Posted: October 27, 1999
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Abstract | References | Similar articles | Additional information

Abstract: We study the question: When is the union of John domains a John domain?

References:

[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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