Unions of John domains
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- by Jussi Väisälä PDF
- Proc. Amer. Math. Soc. 128 (2000), 1135-1140 Request permission
Abstract:
We study the question: When is the union of John domains a John domain?References
- Fritz John, Rotation and strain, Comm. Pure Appl. Math. 14 (1961), 391–413. MR 138225, DOI 10.1002/cpa.3160140316
- O. Martio and J. Sarvas, Injectivity theorems in plane and space, Ann. Acad. Sci. Fenn. Ser. A I Math. 4 (1979), no. 2, 383–401. MR 565886, DOI 10.5186/aasfm.1978-79.0413
- O. Martio and M. Vuorinen, Whitney cubes, $p$-capacity, and Minkowski content, Exposition. Math. 5 (1987), no. 1, 17–40. MR 880256
- Raimo Näkki and Jussi Väisälä, John disks, Exposition. Math. 9 (1991), no. 1, 3–43. MR 1101948
- M.H.A. Newman, Elements of topology of plane sets of points, Cambridge University Press, 1961.
Additional Information
- Jussi Väisälä
- Affiliation: Matematiikan laitos, Helsingin yliopisto, PL 4, 00014 Helsinki, Finland
- Email: jussi.vaisala@helsinki.fi
- Received by editor(s): June 1, 1998
- Published electronically: October 27, 1999
- Communicated by: Christopher D. Sogge
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1135-1140
- MSC (2000): Primary 30C65
- DOI: https://doi.org/10.1090/S0002-9939-99-05434-9
- MathSciNet review: 1676349