IMBEDDING THEOREMS AND COMPACTNESS FOR SPACES OF SOBOLEV TYPE WITH WEIGHTS
П. И. Лизоркин, M. O. Otelbaev · Mathematics of the USSR-Sbornik · 1980
In this article weight estimates are obtained for the intermediate derivatives in spaces of functions which are pth power summable together with their gradient of order l over a domain Ω with respect to a weight which degenerates on the boundary of Ω. In particular, these estimates imply the boundedness and compactness of the corresponding imbeddings. Bibliography: 6 titles.