Matrix-weighted Besov spaces

By Svetlana Roudenko. 2002

119 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d3d09e65df31032a347e7615d8d9957bf1355f99

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In Applied Mathematics

Citations in the corpus

Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis (2008, methodology): “Recent works, devoted to matrix Ap weights in Besov spaces are due to Roudenko [36], [37], [17], see also [34] and [50] (for some F -cases).”
ENTROPY AND APPROXIMATION NUMBERS OF EMBEDDINGS OF FUNCTION SPACES WITH MUCKENHOUPT WEIGHTS, II. GENERAL WEIGHTS (2011, unknown): “Recent works are due to ROUDENKO [29, 30, 13], and BOWNIK [1, 2].”
Wavelet bases and entropy numbers in weighted function spaces (2005, background): “Finally we refer to [48], dealing with matrix-valued generalisations of weighted homogeneous Besov spaces Ḃ pq(R , w), s ∈ R, 1 ≤ p <∞, 0 < q ≤ ∞, where again w is related to Muckenhoupt weights (but also some more general weights are treated).”
Atomic and molecular decompositions of anisotropic Besov spaces (2005, methodology): “Recently, Roudenko [29] has studied matrix-weighted Besov spaces defined using matrix analogues of Muckenhoupt Ap weights introduced by Nazarov, Treil, and Volberg [26,33].”
Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases (2011, result): “[4–7], [15,39,40] and, more recently, [2,3], [24].”
A note on wavelet bases in function spaces (2004, background): “In case of Muckenhoupt weights we refer to [22].”
Entropy and Approximation Numbers of Embeddings of Function Spaces with Muckenhoupt Weights, I (2008, result): “[31] S. Roudenko, Matrix-weighted Besov spaces, Trans.”