Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589679 | Journal of Functional Analysis | 2016 | 17 Pages |
Abstract
Using tools from the theory of operator ideals and s -numbers, we develop a general approach to transfer estimates for L2L2-approximation of Sobolev functions into estimates for L∞L∞-approximation, with precise control of all involved constants. As an illustration, we derive some results for periodic isotropic Sobolev spaces Hs(Td)Hs(Td) and Sobolev spaces of dominating mixed smoothness Hmixs(Td), always equipped with natural norms. Some results for LpLp-approximation (2
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Fernando Cobos, Thomas Kühn, Winfried Sickel,