Characterization of a rearrangement-invariant hull of a Besov space via interpolation

DOI10.1007/s13163-011-0067-6zbMath1357.46030OpenAlexW1973503969MaRDI QIDQ365176

Luboš Pick, Amiran Gogatishvili, Jan Schneider

Publication date: 4 September 2013

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-011-0067-6

zbMATH Keywords

interpolationBesov spacesrearrangement-invariant spacesLorentz spaces\(K\)-functionals

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 (3)

The modulus of smoothness in metric spaces and related problems ⋮ Quantitative estimates of embedding constants for Gagliardo-Nirenberg inequalities on critical Sobolev-Besov-Lorentz spaces ⋮ Ulyanov-type inequalities between Lorentz-Zygmund spaces

Cites Work

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• An elementary proof of sharp Sobolev embeddings
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• Optimal Sobolev imbeddings
• ESTIMATES OF REARRANGEMENTS AND IMBEDDING THEOREMS
• On optimization problems with prescribed rearrangements
• A condition implying boundedness and VMO for a function f
• Symmetrization inequalities and Sobolev embeddings
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• THE IMBEDDING OF CERTAIN FUNCTION CLASSESH_p^ω
• On limiting embeddings of Besov spaces
• A note on L(\infty, q) spaces and Sobolev embeddings
• The approximation functional and interpolation with perturbed continuity
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