Embeddings of function spaces: a criterion in terms of differences

DOI10.1080/17476933.2010.551203zbMath1246.46030OpenAlexW2117331727WikidataQ57339748 ScholiaQ57339748MaRDI QIDQ3094253

Haroske, Dorothee D., Hans Triebel

Publication date: 21 October 2011

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

Full work available at URL: https://doi.org/10.1080/17476933.2010.551203

zbMATH Keywords

Sobolev spacesdecompositionembeddingsBesov spacesmodulus of smoothnessweighted spacesLebesgue spacesdifferencesinhomogeneous spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (12)

Some recent developments in the theory of function spaces involving differences ⋮ Characterizations of Sobolev spaces via averages on balls ⋮ Limits of Besov norms ⋮ Pointwise characterizations of Besov and Triebel-Lizorkin spaces in terms of averages on balls ⋮ Gagliardo-Nirenberg inequalities ⋮ Ulyanov-type inequalities between Lorentz-Zygmund spaces ⋮ Characterizations of Besov and Triebel-Lizorkin spaces via averages on balls ⋮ Littlewood-Paley characterizations of Hajłasz-Sobolev and Triebel-Lizorkin spaces via averages on balls ⋮ The grand Lusin‐area characterization of Hajłasz‐Sobolev spaces and Triebel‐Lizorkin spaces ⋮ Jacobi weights, fractional integration, and sharp Ulyanov inequalities ⋮ Newton-Besov spaces and Newton-Triebel-Lizorkin spaces on metric measure spaces ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

Cites Work

• Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings
• A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions
• Theory of function spaces
• Theory of function spaces II
• Weak type inequalities for moduli of smoothness: The case of limit value parameters
• Besov spaces with positive smoothness on \(\mathbb R^n\), embeddings and growth envelopes
• A remark on Sobolev spaces. The case \(0<p<1\)
• Ul'yanov and Nikol'skii-type inequalities
• Inequalities for moduli of smoothness versus embeddings of function spaces
• Pointwise characterizations of Hardy-Sobolev functions
• Sobolev–Besov spaces of measurable functions
• Whitney’s jets for Sobolev functions
• On more general Lipschitz spaces

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