Add to ORKGIn this paper we give a short survey on a problem on extremal quasiconformal extensions. It had been a conjecture for a long time that the dilatations K0(h) and K1(h) are equal before Anderson and Hinkkanen disproved this by constructing concrete examples of a family of affine mappings of some parallelograms. The problem also engendered many interesting results. At the end of the current paper, we discuss relationships among K0(h), H(h) and K1(h) as a concluding remark
Becker (J Reine Angew Math 255:23–43, 1972) discovered a sufficient condition for quasiconformal ext...
Becker (J Reine Angew Math 255:23–43, 1972) discovered a sufficient condition for quasiconformal ext...
Let phi(z) be holomorphic in the unit disk Delta and meromorphic on Delta. Suppose f is a Teichmulle...
Concerning the problem of extremality of quasiconformal mappings with dilatation bounds, we discuss ...
AbstractThis paper deals with the extremals of some functionals defined on a given homotopy class of...
fn the paper [2] we proved the following extremal property for cylinder: Let G be a domain in R*L wi...
Abstract. We show that two rational maps which are K-quasiconformally combinatorially equivalent are...
We study C 2 extremal quasiconformal mappings in space and establish necessary and sufficient condit...
The main goal of this paper is to give an affirmative answer to the long-standing conjecture which a...
The main goal of this paper is to give an affirmative answer to the long-standing conjecture which a...
By considering the explicit form of the quasiconformal mapping Fxk) of the complex plane with comple...
By the Riemann-mapping theorem, one can bijectively map the interior of an $n$-gon $P$ to that of an...
The properties of the extremal sets of extremal quasiconformal mappings are discussed. It is proved ...
The main goal of this paper is to give an affirmative answer to the long-standing conjecture which a...
Becker (J Reine Angew Math 255:23–43, 1972) discovered a sufficient condition for quasiconformal ext...
Becker (J Reine Angew Math 255:23–43, 1972) discovered a sufficient condition for quasiconformal ext...
Becker (J Reine Angew Math 255:23–43, 1972) discovered a sufficient condition for quasiconformal ext...
Let phi(z) be holomorphic in the unit disk Delta and meromorphic on Delta. Suppose f is a Teichmulle...
Concerning the problem of extremality of quasiconformal mappings with dilatation bounds, we discuss ...
AbstractThis paper deals with the extremals of some functionals defined on a given homotopy class of...
fn the paper [2] we proved the following extremal property for cylinder: Let G be a domain in R*L wi...
Abstract. We show that two rational maps which are K-quasiconformally combinatorially equivalent are...
We study C 2 extremal quasiconformal mappings in space and establish necessary and sufficient condit...
The main goal of this paper is to give an affirmative answer to the long-standing conjecture which a...
The main goal of this paper is to give an affirmative answer to the long-standing conjecture which a...
By considering the explicit form of the quasiconformal mapping Fxk) of the complex plane with comple...
By the Riemann-mapping theorem, one can bijectively map the interior of an $n$-gon $P$ to that of an...
The properties of the extremal sets of extremal quasiconformal mappings are discussed. It is proved ...
The main goal of this paper is to give an affirmative answer to the long-standing conjecture which a...
Becker (J Reine Angew Math 255:23–43, 1972) discovered a sufficient condition for quasiconformal ext...
Becker (J Reine Angew Math 255:23–43, 1972) discovered a sufficient condition for quasiconformal ext...
Becker (J Reine Angew Math 255:23–43, 1972) discovered a sufficient condition for quasiconformal ext...
Let phi(z) be holomorphic in the unit disk Delta and meromorphic on Delta. Suppose f is a Teichmulle...