and differentiability of -homeomorphisms.
A converse defect relation for quasimeromorphic mappings.
A geometric approach to accretivity
We establish a connection between generalized accretive operators introduced by F. E. Browder and the theory of quasisymmetric mappings in Banach spaces pioneered by J. Väisälä. The interplay of the two fields allows for geometric proofs of continuity, differentiability, and surjectivity of generalized accretive operators.
A new characterization for isometries by triangles.
A new inequality for weakly -Quasiregular mappings.
A note on Gehring's lemma.
A Picard type theorem for quasiregular mappings of Rn into n-manifolds with many ends.
-weighted Caccioppoli-type and Poincaré-type inequalities for -harmonic tensors.
-weighted Caccioppoli-type and Poincaré-type inequalities for -harmonic tensors. Erratum.
A theorem of Semmes and the boundary absolute continuity in all dimensions.
We use a recent theorem of Semmes to resolve some questions about the boundary absolute continuity of quasiconformal maps in space.
A uniformly quasiconformal group not isomorphic to a Möbius group.
Action of Möbius Transformations on Homeomorphisms: Stability and Rigidity.
Ahlfors theorems for differential forms.
An ideal boundary for domains in -space.
An inverse Sobolev lemma.
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 Rn 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 Rn in terms of the growth of the mapping.
Analytic aspects of quasiconformality.
Apollonian isometries of regular domains are Möbius mappings.
Area and coarea formulas for the mappings of Sobolev classes with values in a metric space.