Entropy Numbers of Embeddings of Weighted Besov Spaces

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Sharp embedding results for spaces of smooth functions with power weights (2011, methodology): “The approach of [18] to the scalar Besov space case is based on discretization in terms of wavelet bases and on weighted embeddings of [23].”
Wavelet bases and entropy numbers in weighted function spaces (2005, methodology): “Let C(Rn) be the Banach space of all complex-valued uniformly continuous bounded functions in Rn and let for r ∈ N, Cr(Rn) = {f ∈ C(Rn) : Dγf ∈ C(Rn), |γ| ≤ r} , (2.1) obviously normed, where we used the standard abbreviation Dγ for derivatives.”
Function spaces of variable smoothness and integrability (2007, background): “Recently, anisotropic and weighted versions of these spaces have been studied by many people, see, e.g., Bownik and Ho [9], Frazier and Roudenko [46, 24], Kühn, Leopold, Sickel and Skrzypczak [31], and the references therein.”
ENTROPY AND APPROXIMATION NUMBERS OF EMBEDDINGS OF FUNCTION SPACES WITH MUCKENHOUPT WEIGHTS, II. GENERAL WEIGHTS (2011, background): “Sickel and the second author in the series of papers [21, 22, 23, 33].”
Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases (2011, background): “[31].”