On convergence theorems for homeomorphisms of Sobolev class

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.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 2, pp. 249–259, February, 1995.