Best m-Term Approximation and Sobolev–Besov Spaces of Dominating Mixed Smoothness—the Case of Compact Embeddings
By Markus Hansen, Winfried Sickel. 2012
94 citations recorded by the source corpus.
Subfields: Applied Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/20ad2a6e1f0ff1371f65a4780d1052381e952ccf
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In Applied Mathematics
- Vladimir N. Temlyakov
- Markus Hansen
- D. Dung
- Tino Ullrich
- Dachun Yang
- Wen Yuan
- Yoshihiro Sawano
- Taiji Suzuki
In Numerical Analysis
Citations in the corpus
- On tensor products of quasi-Banach spaces (2010, background): “However, studying the same problem for tensor product bases, one is lead to tensor products of Besov-spaces, in particular also to tensor products of quasi-Banach spaces, see [9, 10, 8].”
- Zur Theorie der Niedrigrangapproximation in Tensorprodukten von Hilberträumen (2013, unknown): “Sickel [36] für den nicht-periodischen Fall.”
- Hyperbolic Cross Approximation (2016, methodology): “The bound is a simple consequence of recent results [166, 168] on best m-term approximation for non-compact embeddings Wr p ↪→ Lq if 1 < p < q < ∞ and r = 1/p− 1/q, and Bp,p ↪→ Lq if 0 < p ≤ max{p, 1} < q < ∞ and r = 1/p − 1/q, see Theorems 9.”