On homeomorphisms with finite distortion in the plane

Abstract

It is shown that every homeomorphism f of finite distortion in the plane is the so-called lower Q-homeomorphism with Q(z)=K_f(z), and, on this base, it is developed the theory of the boundary behavior of such homeomorphisms.

16 pages, 2 figures, the proof of Theorem 3.1

Cited by in corpus (3)

• On mappings in the Orlicz-Sobolev classes
• On equicontinuity of homeomorphisms with finite distortion in the plane
• Convergence and compactness of the Sobolev mappings