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Compactness principle for periodic singular and fine structures |
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| Authors: | V V Shumilova |
| Institution: | (1) Murom Institute (Branch) of Vladimir State University, Russia |
| 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. |
| Keywords: | compactness principle periodic singular structure fine structure box structure grid periodic normed measure the space L2 |
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