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Martin compactifications and quasiconformal mappings


Authors: Shigeo Segawa and Toshimasa Tada
Journal: Proc. Amer. Math. Soc. 93 (1985), 242-244
MSC: Primary 30F15; Secondary 30C60, 31A10
MathSciNet review: 770529
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Abstract: It is shown that there exists a quasiconformal mapping $ T$ of a Riemann surface $ {R_1}$ onto another $ {R_2}$ such that $ T$ cannot be extended to a homeomorphism of the Martin compactification $ R_1^*$ of $ {R_1}$ onto that $ R_2^*$ of $ {R_2}$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0770529-7
Keywords: Martin compactification, quasiconformal mapping
Article copyright: © Copyright 1985 American Mathematical Society