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JAT
2006

An extrapolation theorem for nonlinear approximation and its applications

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An extrapolation theorem for nonlinear approximation and its applications
We prove an extrapolation theorem for the nonlinear m-term approximation with respect to a system of functions satisfying very mild conditions. This theorem allows us to prove endpoint Lp - Lq estimates in nonlinear approximation. As a consequence, some known endpoint estimates can be deduced directly and some new estimates are also obtained. Finally, applications of these new estimates are given to spherical m-widths and m-term approximation of the weighted Besov classes.
Feng Dai
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2006
Where JAT
Authors Feng Dai
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