Besov spaces with positive smoothness on \(\mathbb R^n\), embeddings and growth envelopes

DOI10.1016/j.jat.2008.12.004zbMath1194.46049OpenAlexW1971097063WikidataQ57339759 ScholiaQ57339759MaRDI QIDQ1048987

Cornelia Schneider, Haroske, Dorothee D.

Publication date: 8 January 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2008.12.004

zbMATH Keywords

embeddingsBesov spacesreal interpolationgrowth envelopes

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (14)

Measure density and extension of Besov and Triebel-Lizorkin functions ⋮ Traces of Besov and Triebel‐Lizorkin spaces on domains ⋮ Sharp embeddings of Besov spaces with logarithmic smoothness in sub-critical cases ⋮ Some recent developments in the theory of function spaces involving differences ⋮ Shearlet coorbit spaces: traces and embeddings in higher dimensions ⋮ Phase transitions in rate distortion theory and deep learning ⋮ Homogeneity property of Besov and Triebel-Lizorkin spaces ⋮ Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces ⋮ Approximation schemes satisfying Shapiro's theorem ⋮ Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings ⋮ Trace operators in Besov and Triebel-Lizorkin spaces ⋮ Embeddings of function spaces: a criterion in terms of differences ⋮ Growth envelopes of some variable and mixed function spaces ⋮ Embeddings of Besov spaces on fractal \(h\)-sets

Cites Work

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• Jackson's theorem in the space \(L^p(R^k),\;0<p<1\)
• Function spaces and wavelets on domains
• On imbedding constructive and structural Lipschitz spaces in symmetric spaces
• Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type
• Imbedding theorems for anisotropic Nikol'skij Besov spaces with moduli of continuity of general form
• Sets of singularities of functions in spaces of Besov and Lizorkin- Triebel type
• On sharp embeddings of Besov and Triebel-Lizorkin spaces in the subcritical case
• Entropy Numbers and Approximation Numbers in Function Spacess
• Interpolation of Besov Spaces
• Weakly Differentiable Functions
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• Some observations on Besov and Lizorkin-Triebel spaces.
• Sharp sobolev embeddings and related hardy inequalities: The critical case
• Sharp Sobolev Embeddings and Related Hardy Inequalities: The Sub ‐‐ Critical Case
• An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation

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