Quasiconformal Mappings in Space
نویسنده
چکیده
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)>0 everywhere in D. Then w(z) is said to be a K-quasiconformal mapping, in the classical sense, if w(z) satisfies the dilatation condition
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