Growth envelopes of Besov spaces on fractal h‐sets

DOI10.1002/mana.201100176zbMath1273.46023OpenAlexW2063674416MaRDI QIDQ4921743

António M. Caetano

Publication date: 13 May 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100176

zbMATH Keywords

embeddingsBesov spacesfractalstraces\(d\)-setsgrowth envelopes\(h\)-sets

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

Related Items

Embeddings of weighted generalized Morrey spaces into Lebesgue spaces on fractal sets ⋮ Embeddings of Besov spaces on fractal \(h\)-sets

Cites Work

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• The structure of functions
• Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness
• Local growth envelopes of Besov spaces of generalized smoothness
• Criteria for the multiplicativity of spaces of Besov-Lizorkin-Triebel type and their imbedding into C
• Characterisations of function spaces of generalised smoothness
• Fractals and Spectra
• Spectral theory for isotropic fractal drums
• Tailored Besov spaces andh-sets
• Function spaces of generalised smoothness
• Local growth envelopes of spaces of generalized smoothness: the critical case