This article is cited in 18 papers

Spaces of network functions

L. S. Frank


Abstract: In this paper, difference analogs of Sobolev–Slobodetskii spaces are studied: $H_s(\Omega)$, where $\Omega$ is either the whole space or a halfspace. One obtains difference analogs of imbedding theorems, on traces and on extensions of network functions from a halfspace to the whole space with preservation of class.
Bibliography: 19 titles.

UDC: 517.949.21

MSC: Primary 46E35, 39A05; Secondary 39A10

Received: 22.09.1970

 English version: Mathematics of the USSR-Sbornik, 1971, 15:2, 183–226

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