Add to ORKGThe local dilatation Hp at a boundary point of a quasiconformal mapping on a plane domain of arbitrary connectivity is defined and it is shown that there is always a substantial point p, such that Hp = H, where H is the boundary dilatation. Infinitesimal local boundary dilatation is also defined and it is shown that the sets of infinitesimally substantial and substantial boundary points coincide
In this article we consider area preserving diffeomorphisms of planar domains, and we are interested...
Consider a plane graph G, drawn with straight lines. For every pair a, b of vertices of G, we compar...
Recently J. Mateu, J. Orobitg, and J. Verdera showed that a Hölder continuous complex dilatation su...
We prove that the nearest point retraction of a region P, not the whole plane, to its dome is long-r...
We study the boundary correspondence under sense-preserving homeomorphic self-mapping of the upper h...
Abstract. We introduce the notion of the infinitesimal space for a quasiregular mapping at a point. ...
We give an estimate that quantifies the fact that a normalized quasiconformal map whose dilatation i...
We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane,...
By considering the explicit form of the quasiconformal mapping Fxk) of the complex plane with comple...
Regularity problems of a plane quasiconformal mapping f where complex dilatation is close to zero ar...
We introduce a certain integrability condition for the reciprocal of the Jacobian determinant whichg...
In a recent paper [3] Strebel introduced the dilatation of a homeomorphism of a Jordan curve onto an...
In this paper we give a short survey on a problem on extremal quasiconformal extensions. It had been...
Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue....
domains D and D ' i! the complex plane C always llras a boundary extension, i.e. there is a hom...
In this article we consider area preserving diffeomorphisms of planar domains, and we are interested...
Consider a plane graph G, drawn with straight lines. For every pair a, b of vertices of G, we compar...
Recently J. Mateu, J. Orobitg, and J. Verdera showed that a Hölder continuous complex dilatation su...
We prove that the nearest point retraction of a region P, not the whole plane, to its dome is long-r...
We study the boundary correspondence under sense-preserving homeomorphic self-mapping of the upper h...
Abstract. We introduce the notion of the infinitesimal space for a quasiregular mapping at a point. ...
We give an estimate that quantifies the fact that a normalized quasiconformal map whose dilatation i...
We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane,...
By considering the explicit form of the quasiconformal mapping Fxk) of the complex plane with comple...
Regularity problems of a plane quasiconformal mapping f where complex dilatation is close to zero ar...
We introduce a certain integrability condition for the reciprocal of the Jacobian determinant whichg...
In a recent paper [3] Strebel introduced the dilatation of a homeomorphism of a Jordan curve onto an...
In this paper we give a short survey on a problem on extremal quasiconformal extensions. It had been...
Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue....
domains D and D ' i! the complex plane C always llras a boundary extension, i.e. there is a hom...
In this article we consider area preserving diffeomorphisms of planar domains, and we are interested...
Consider a plane graph G, drawn with straight lines. For every pair a, b of vertices of G, we compar...
Recently J. Mateu, J. Orobitg, and J. Verdera showed that a Hölder continuous complex dilatation su...