Traces of Besov spaces on fractal $h$-sets and dichotomy results

DOI10.4064/sm8171-1-2016zbMath1350.46025arXiv1501.02493OpenAlexW3105272927WikidataQ57339733 ScholiaQ57339733MaRDI QIDQ2787156

Haroske, Dorothee D., António M. Caetano

Publication date: 24 February 2016

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

Full work available at URL: https://arxiv.org/abs/1501.02493

zbMATH Keywords

tracesdichotomyBesov spaces of generalized smoothnessdensity of test functionsfractal \(h\)-sets

Mathematics Subject Classification ID

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

Related Items (4)

Dichotomy in Muckenhoupt Weighted Function Space: A Fractal Example ⋮ Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces ⋮ Traces of weighted function spaces: dyadic norms and Whitney extensions ⋮ Embeddings of Besov spaces on fractal \(h\)-sets

Cites Work

• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• Spaces of Functions of Generalized Smoothness
• Spectral theory for isotropic fractal drums
• Unnamed Item

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