Wavelet bases and entropy numbers in weighted function spaces

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Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis (2008, background): “In particular, starting from the series of papers [20], [21], [19], closely connected with the proto-type w(x) = ( 1 + |x|2)α/2, α ∈ R, new contributions were achieved in [22], [25]–[27], [42], all related to such locally regular weights.”
New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets (2011, methodology): “Notice that we use more general biorthogonal wavelet bases instead of classical orthogonal wavelet bases as it is done for instance in [50, Chapter 3], in case of inhomogeneous classical Besov and Triebel-Lizorkin spaces, and also in [23, 26, 27, 28, 8, 9, 35].”
Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases (2011, background): “This phenomenon is not only well-known from our previous considerations in [25], but also from parallel observations for so-called ‘admissible’ weights in [31–33] with forerunners in [19,20,27].”
Bracketing Metric Entropy Rates and Empirical Central Limit Theorems for Function Classes of Besov- and Sobolev-Type (2007, methodology): “1 in [20] carries over to the case of real Besov spaces.”