Quasiconformal Mappings and Sets of Finite Perimeter
نویسندگان
چکیده
منابع مشابه
Exceptional sets for quasiconformal mappings in general metric spaces
A theorem of Balogh, Koskela, and Rogovin states that in Ahlfors Q-regular metric spaces which support a p-Poincaré inequality, 1 ≤ p ≤ Q, an exceptional set of σ-finite (Q−p)-dimensional Hausdorff measure can be taken in the definition of a quasiconformal mapping while retaining Sobolev regularity analogous to that of the Euclidean setting. Through examples, we show that the assumption of a Po...
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U' denotes the image of U, the disk | s — So| and maps the infinitesimal circles | z — zo\ = e onto infinitesimal ellipses; H(z0) gives the ratio of the major to minor axes and J(zo) is the absolute value of the Jacobian. Suppose next that w(z) is continuously difîerentiable with J(z)>...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1973
ISSN: 0002-9947
DOI: 10.2307/1996672