منابع مشابه
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We give the sharp constants in the area distortion inequality for quasiconformal mappings in the plane. Astala [1] proved the following theorem conjectured by Gehring and Reich in [3]: Theorem A. Let f be a K-quasiconformal mapping of D = {z: \z\ < 1} onto itself with f(0) = 0. Then for any measurable E c D we have \f(E)\<C(K)\E\xlK, where \ • \ stands for the area. The first author [2] obtaine...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1939
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.25.7.371