
The paper studies \(n\)-term wavelet approximation in Besov and Triebel-Lizorkin spaces. In terms of interpolation spaces, the spaces of functions with prescribed degree of \(n\)-term approximation are characterized. Using these results, the author identifies the interpolation spaces between Tribel-Lizorkin and Besov spaces.
Mathematics(all), Numerical Analysis, Applied Mathematics, non-linear approximation, Nontrigonometric harmonic analysis involving wavelets and other special systems, Wavelets, wavelets, interpolation of operators, nonlinear approximation, Interpolation of operators, Non-linear approximation, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Interpolation in approximation theory, Analysis
Mathematics(all), Numerical Analysis, Applied Mathematics, non-linear approximation, Nontrigonometric harmonic analysis involving wavelets and other special systems, Wavelets, wavelets, interpolation of operators, nonlinear approximation, Interpolation of operators, Non-linear approximation, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Interpolation in approximation theory, Analysis
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