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Restricted non linear approximation is a generalization of the N‐term approximation in which a measure on the index set of the approximants controls the type, instead of the number, of elements in the approximation. Thresholding is a well‐known type of non linear approximation. We relate a generalized upper and lower Temlyakov property with the dec...
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Citations
Having in mind some applications in operator theory, we extend the class of shearlet-based non-homogeneous Triebel–Lizorkin spaces, originally introduced in Vera (Appl Comput Harmon Anal 12:130–150, 2013). The extension consists in allowing the value \(p=\infty \) as one of the parameters describing the spaces. We also establish some basic properties of these new spaces, including the fact that for a particular set of parameters one gets a properly larger space than the space of local bounded mean oscillation functions from Goldberg (Duke Math J 46:27–42, 1979).
