Tempered homogeneous function spaces. III

DOI10.1007/s10476-017-0310-6zbMath1399.46050OpenAlexW2176905179MaRDI QIDQ1743168

Hans Triebel

Publication date: 12 April 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-017-0310-6

zbMATH Keywords

waveletgreedy approximationcocompact embeddingtempered function space

Mathematics Subject Classification ID

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

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Cites Work

• On interpolation of cocompact imbeddings
• Tempered homogeneous function spaces
• A general wavelet-based profile decomposition in the critical embedding of function spaces
• Bases in function spaces, sampling, discrepancy, numerical integration
• Analysis of the lack of compactness in the critical Sobolev embeddings
• Harmonic analysis of the space BV.
• Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces
• New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets
• Best \(m\)-term approximation and Lizorkin-Triebel spaces
• Concentration analysis in Banach spaces
• Some observations on Besov and Lizorkin-Triebel spaces.
• Nonlinear approximation and the space BV[inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]
• Four proofs of cocompactness for Sobolev embeddings
• Concentration Analysis and Cocompactness
• Non-linear approximation and interpolation spaces

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