The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Quasiregular mappings of maximal local modulus of continuity.”

On conformal dilatation in space.

Bishop, Christopher J., Gutlyanskiĭ, Vladimir Ya., Martio, Olli, Vuorinen, Matti (2003)

International Journal of Mathematics and Mathematical Sciences

Similarity:

On local injectivity and asymptotic linearity of quasiregular mappings

V. Gutlyanskiĭ, O. Martio, V. Ryazanov, M. Vuorinen (1998)

Studia Mathematica

Similarity:

It is shown that the approximate continuity of the dilatation matrix of a quasiregular mapping f at x 0 implies the local injectivity and the asymptotic linearity of f at x 0 . Sufficient conditions for l o g | f ( x ) - f ( x 0 ) | to behave asymptotically as l o g | x - x 0 | are given. Some global injectivity results are derived.

An inverse Sobolev lemma.

Pekka Koskela (1994)

Revista Matemática Iberoamericana

Similarity:

We establish an inverse Sobolev lemma for quasiconformal mappings and extend a weaker version of the Sobolev lemma for quasiconformal mappings of the unit ball of R to the full range 0 < p < n. As an application we obtain sharp integrability theorems for the derivative of a quasiconformal mapping of the unit ball of R in terms of the growth of the mapping.

Distortion function and quasisymmetric mappings

J. Zając (1991)

Annales Polonici Mathematici

Similarity:

We study the relationship between the distortion function Φ K and normalized quasisymmetric mappings. This is part of a new method for solving the boundary values problem for an arbitrary K-quasiconformal automorphism of a generalized disc on the extended complex plane.

On a paper of Carleson.

Brakalova, Melkana A., Jenkins, James A. (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

Similarity:

Composition operators on W 1 X are necessarily induced by quasiconformal mappings

Luděk Kleprlík (2014)

Open Mathematics

Similarity:

Let Ω ⊂ ℝn be an open set and X(Ω) be any rearrangement invariant function space close to L q(Ω), i.e. X has the q-scaling property. We prove that each homeomorphism f which induces the composition operator u ↦ u ℴ f from W 1 X to W 1 X is necessarily a q-quasiconformal mapping. We also give some new results for the sufficiency of this condition for the composition operator.