Triebel-Lizorkin spaces on metric spaces via hyperbolic fillings

DOI10.1512/iumj.2018.67.7282zbMath1412.42058arXiv1411.5906OpenAlexW2963561177WikidataQ109553712 ScholiaQ109553712MaRDI QIDQ4962412

Mario Bonk, Tomás Soto, Eero Saksman

Publication date: 2 November 2018

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5906

zbMATH Keywords

Triebel-Lizorkin spacesfunction spacesmetric measure spacehyperbolic filling

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

Pointwise characterizations of Besov and Triebel-Lizorkin spaces with generalized smoothness and their applications, Besov and Triebel-Lizorkin spaces on metric spaces: embeddings and pointwise multipliers, Extension and trace results for doubling metric measure spaces and their hyperbolic fillings, Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces, Approximation and quasicontinuity of Besov and Triebel–Lizorkin functions, Pointwise characterizations of Besov and Triebel-Lizorkin spaces in terms of averages on balls, Littlewood-Paley characterizations of Hajłasz-Sobolev and Triebel-Lizorkin spaces via averages on balls, Dyadic norm Besov-type spaces as trace spaces on regular trees, Bounded geometry and \(p\)-harmonic functions under uniformization and hyperbolization, Traces of weighted function spaces: dyadic norms and Whitney extensions

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