This article is cited in 1 paper

Compactness principle for periodic singular and fine structures

V. V. Shumilova

Murom Institute, Vladimir State University

Abstract: We consider the compactness principle in the variable space $L^2$ related to a periodic Borel measure. We assume that the periodic Borel measure determines a periodic singular or a fine structure. We prove the compactness principle for periodic singular and fine grids, box structures, and composite structures on the plane and in space.

UDC: 517.9

Received: 20.05.2004

DOI: 10.4213/mzm2767

 English version: Mathematical Notes, 2006, 79:6, 878–885

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