Abstract
We consider the relationship between the p-capacity of the pairs of opposite sides of a flat quadrilateral and the resultant class of extremal mappings.
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Original Russian Text Copyright © 2008 Romanov A. S.
The author was partially supported by the Russian Foundation for Basic Research (Grant 08-01-00531-a), the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-5682.2008.1), and the Integration Grant (No. 117; 2006) of the Siberian Division of the Russian Academy of Sciences.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 4, pp. 886–897, July–August, 2008.
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Romanov, A.S. Capacity relations in a flat quadrilateral. Sib Math J 49, 709–717 (2008). https://doi.org/10.1007/s11202-008-0068-y
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DOI: https://doi.org/10.1007/s11202-008-0068-y