PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)Vol. 75(89), pp. 67–76 (2004)
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PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.) Vol. 75(89), pp. 67–76 (2004) |
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REMARKS ON THE CONDITIONS FOR UNIQUE EXTREMALITY OF QUASICONFORMAL MAPPINGSEdgar ReichUniversity of Minnesota, Minneapolis, Minnesota, U.S.A.Abstract: In work dating to 1981, two different sufficient conditions for unique extremality of quasiconformal mappings, referred to here as Theorem A and Theorem B were found. In the case of Theorem A, the condition is now known to also be necessary. In spite of this, Theorem B has been found to be the more useful of the two conditions in delicate situations. However, the question of whether the conditions of Theorem B are necessary is still open. We discuss some matters relevant to this problem. As a new illustration of Theorem B, we show that it can be used to give a self-contained proof of a result of Strebel's. Classification (MSC2000): 30C75 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 27 Oct 2004. This page was last modified: 22 Feb 2005.
© 2004 Mathematical Institute of the Serbian Academy of Science and Arts
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