Besov spaces on closed sets by means of atomic decomposition

DOI10.1080/17476930802669678zbMath1179.46030OpenAlexW2109681795MaRDI QIDQ5321889

Alf Jonsson

Publication date: 16 July 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930802669678

zbMATH Keywords

Besov spacesfractal setsatomstracesfunction spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

Related Items (8)

On the Whitney problem for weighted Sobolev spaces ⋮ Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains ⋮ Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes ⋮ Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces ⋮ On the existence of optimal shapes in architecture ⋮ Traces of weighted function spaces: dyadic norms and Whitney extensions ⋮ Non-Lipschitz Uniform Domain Shape Optimization in Linear Acoustics ⋮ Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries

Cites Work

• A discrete transform and decompositions of distribution spaces
• Theory of function spaces II
• Besov Spaces on Closed Subsets of ℝ n
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