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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
MathSciNet review:
1676349
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Abstract |
References |
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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,
 -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:
10.1090/S0002-9939-99-05434-9
PII:
S 0002-9939(99)05434-9
Keywords:
John domain
Received by editor(s):
June 1, 1998
Posted:
October 27, 1999
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
2000,
American Mathematical Society
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