Traces of Besov spaces revisited

DOI10.4171/ZAA/979zbMath0972.46023arXiv1703.07674OpenAlexW1992023664MaRDI QIDQ5926114

Johnsen, Jon.

Publication date: 2 November 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07674

zbMATH Keywords

borderline casesconvergence criteriadistributional trace operatorelliptic boundary problemsmixed-norm estimatetrace of Besov spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Operations with distributions and generalized functions (46F10)

Related Items (4)

Traces of vector-valued Sobolev spaces ⋮ Anisotropic Lizorkin-Triebel spaces with mixed norms - traces on smooth boundaries ⋮ On the trace problem for Lizorkin–Triebel spaces with mixed norms ⋮ Dyadic norm Besov-type spaces as trace spaces on regular trees

Cites Work

• A discrete transform and decompositions of distribution spaces
• Asymptotic properties of solutions of differential equations with simple characteristics
• \(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems
• Traces of anisotropic Besov--Lizorkin--Triebel spaces---a complete treatment of the borderline cases
• Some observations on Besov and Lizorkin-Triebel spaces.
• Elliptic Boundary Problems and the Boutet de Monvel Calculus in Besov and Triebel-Lizorkin Spaces.
• On the Spaces of T<scp>riebel‐</scp>L<scp>izorkin</scp> Type: Pointwise Multipliers and Spaces on Domains
• Regular Elliptic Boundary Value Problems in Besov‐Triebel‐Lizorkin Spaces
• Pointwise Multiplication of Besov and Triebel‐Lizorkin Spaces
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