This article is cited in 9 papers

On imbedding theorems for anisotropic classes of functions

V. S. Klimov


Abstract: Imbedding theorems are established for classes of functions whose derivatives belong to various symmetric spaces. The functions studied can fail to vanish on the boundary of the domain. A class of domains is singled out for which the imbedding theorems have the same form as for function spaces satisfying a zero boundary condition.
Bibliography: 20 titles.

UDC: 517.5

MSC: 46E30, 46E35

Received: 13.12.1983

 English version: Mathematics of the USSR-Sbornik, 1986, 55:1, 195–205

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