Traces of Besov and Triebel‐Lizorkin spaces on domains

DOI10.1002/mana.201010052zbMath1219.46036OpenAlexW2106280677MaRDI QIDQ3169174

Cornelia Schneider

Publication date: 27 April 2011

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

Full work available at URL: https://doi.org/10.1002/mana.201010052

zbMATH Keywords

Triebel-Lizorkin spacesBesov spacestracesdichotomysmooth domains

Mathematics Subject Classification ID

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

Related Items (5)

Besov regularity of solutions to the \(p\)-Poisson equation ⋮ Homogeneity property of Besov and Triebel-Lizorkin spaces ⋮ Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces ⋮ Uniform stabilization of Navier-Stokes equations in critical \(L^q\)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ Uniform stabilization of 3D Navier-Stokes equations in low regularity Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers

Cites Work

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• Trace operators in Besov and Triebel-Lizorkin spaces
• Theory of function spaces
• Besov spaces with positive smoothness on \(\mathbb R^n\), embeddings and growth envelopes
• Besov Spaces on Domains in ℝ d
• An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation

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