On convergence theorems for homeomorphisms of Sobolev class

• Date: 1995
• Main Authors: Ryazanov, V. I., Рязанов, В. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5410
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove a new convergence theorem for homeomorphisms of Sobolev class with a locally summable upper bound of deformations. This theorem allows us to generalize the known Strebel and Bers-Boyarskii convergence theorems.