V. I. Semenov, “Integral representation of the trace on the sphere of a certain class of vector fields, and uniform estimates of stability for quasiconformal mappings of the ball”, Mat. Sb. (N.S.), 1987, Volume 133(175), Number 2(6),Pages <nobr>238

This article is cited in 4 papers

Integral representation of the trace on the sphere of a certain class of vector fields, and uniform estimates of stability for quasiconformal mappings of the ball

V. I. Semenov

Abstract: An integral representation is established for the trace of a vector field on the sphere in terms of a single differential operator. A concrete uniform estimate of stability is obtained for quasiconformal mappings of the ball as a consequence.
Bibliography: 8 titles.

UDC: 517.54

MSC: Primary 30C60; Secondary 35C15, 57R25, 58C99

Received: 21.12.1985