2017
Том 69
№ 9

All Issues

On the theory of hyper-$Q$-homeomorphisms

Kovtonyuk D. A.

Full text (.pdf)


Abstract

We show that if a homeomorphism $f$ of a domain $D ⊂ R^n,\; n ≥ 2$, is a hyper-$Q$-homeomorphism with $Q ∈ L_{\text{loc}^1$ , then $f ∈ ACL$. As a consequence, this homeomorphism has partial derivatives and an approximation differential almost everywhere.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 1, pp 155-161.

Citation Example: Kovtonyuk D. A. On the theory of hyper-$Q$-homeomorphisms // Ukr. Mat. Zh. - 2010. - 62, № 1. - pp. 139–144.

Full text