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TheLp-integrability of the partial derivatives of A quasiconformal mapping
Jf(x) = lim sup m(f(B(x, r)))/m(B(x, r)), r->0 where B(x, r) denotes the open ^-dimensional ball of radius r about x and m denotes Lebesgue measure in R. We call Lf(x) and Jf(x\ respectively, theExpand
Lectures on quasiconformal mappings
RINGS AND QUASICONFORMAL MAPPINGS IN SPACE.
  • F. Gehring
  • Medicine, Mathematics
  • Proceedings of the National Academy of Sciences…
  • 1 March 1962
Quasiconformally homogeneous domains
Discrete Quasiconformal Groups I
In this short paper, we introduce a geometry of discrete quasiconformal groups. This subject has been studied by several mathematicians, name them few, P. Tukia, G. Martin, F. Gehring, D. Sullivan.Expand
Symmetrization of rings in space
holds. We then estimate mod R' either by means of the space analogues of the Grötzsch and Teichmüller rings or by means of spherical annuli. The two bounds we obtain are given in Theorem 3 of §17 andExpand
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