Measure density and extension of Besov and Triebel-Lizorkin functions

DOI10.1007/s00041-015-9419-9zbMath1359.46031arXiv1409.0379OpenAlexW2593264864WikidataQ109992616 ScholiaQ109992616MaRDI QIDQ276076

Lizaveta Ihnatsyeva, Heli Tuominen, Toni Heikkinen

Publication date: 26 April 2016

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0379

zbMATH Keywords

Besov spacemetric measure spaceTriebel-Lizorkin spaceextension domainmeasure density

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70) Analysis on metric spaces (30L99)

Related Items (19)

Dyadic John–Nirenberg space ⋮ Measure density and embeddings of Hajłasz-Besov and Hajłasz-Triebel-Lizorkin spaces ⋮ The Besov capacity in metric spaces ⋮ Pointwise characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type ⋮ Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces ⋮ Besov and Triebel-Lizorkin capacity in metric spaces ⋮ Approximation and quasicontinuity of Besov and Triebel–Lizorkin functions ⋮ Spline representations of Lizorkin-Triebel spaces with general weights ⋮ Designing universal causal deep learning models: The geometric (Hyper)transformer ⋮ Pointwise characterizations of Besov and Triebel-Lizorkin spaces in terms of averages on balls ⋮ Generalized Lebesgue points for Hajłasz functions ⋮ Traces of weighted function spaces: dyadic norms and Whitney extensions ⋮ Approximation by Hölder functions in Besov and Triebel-Lizorkin spaces ⋮ Orlicz-Sobolev embeddings, extensions and Orlicz-Poincaré inequalities ⋮ Orlicz-Besov imbedding and globally \(n\)-regular domains ⋮ A Sobolev type embedding theorem for Besov spaces defined on doubling metric spaces ⋮ A measure characterization of embedding and extension domains for Sobolev, Triebel-Lizorkin, and Besov spaces on spaces of homogeneous type ⋮ Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces ⋮ Median-type John-Nirenberg space in metric measure spaces

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