Boundary Accessibility of a Domain Quasiconformally Equivalent to a Ball |
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| Authors: | Martio Olli; Nakki Raimo |
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| Institution: | Department of Mathematics, University of Helsinki P. O. Box 4, FIN-00014, Finland
Department of Mathematics and Statistics, University of Jyväskylä P. O. Box 35, FIN-40014, Finland |
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| Abstract: | A boundary point of a domain D in Rn is said to be broadly accessibleif it ‘almost lies’ on the boundary of a round ballcontained in D. If f is a quasiconformal mapping of the unitball Bn onto D, then it is shown that broadly accessible boundarypoints on  D correspond under f to a set of full measure on Bn.2000 Mathematics Subject Classification 30C65. |
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