Measuring Triebel–Lizorkin fractional smoothness on domains in terms of first‐order differences

DOI10.1112/jlms.12225zbMath1428.42041arXiv1804.05780OpenAlexW2962801573WikidataQ127816987 ScholiaQ127816987MaRDI QIDQ4973675

Martí Prats

Publication date: 28 November 2019

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05780

zbMATH Keywords

Triebel-Lizorkin space

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 (6)

A fractional version of Rivière's \(\mathrm{GL(n)}\)-gauge ⋮ Bourgain-Brezis-Mironescu convergence via Triebel-Lizorkin spaces ⋮ Triebel-Lizorkin regularity and bi-Lipschitz maps: composition operator and inverse function regularity ⋮ Half-harmonic gradient flow: aspects of a non-local geometric PDE ⋮ Inequalities in homogeneous Triebel-Lizorkin and Besov-Lipschitz spaces ⋮ Uniqueness and regularity of the fractional harmonic gradient flow in \(S^{n-1}\)

Cites Work

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• Integral inequalities of Poincaré and Wirtinger type
• Uniform domains
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• A T(P) theorem for Sobolev spaces on domains
• A T(1) theorem for fractional Sobolev spaces on domains
• On comparability of integral forms
• On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
• Intrinsic characterizations of Besov spaces on Lipschitz domains

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