On dimension-free Sobolev imbeddings. II

DOI10.1007/S13163-011-0068-5zbMath1280.46023OpenAlexW2011374856MaRDI QIDQ365174

Miroslav Krbec, Hans-Juergen Schmeisser

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/s13163-011-0068-5

zbMATH Keywords

Sobolev spaceembedding theoremuncertainty principlebest constants for embeddings

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 (4)

On dimension-free Sobolev imbeddings. I. ⋮ An improvement of dimension-free Sobolev imbeddings in r.i. spaces ⋮ Tractable embeddings of Besov spaces into small Lebesgue spaces ⋮ Integral isoperimetric transference and dimensionless Sobolev inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On dimension-free Sobolev imbeddings. I.
• Orlicz spaces and modular spaces
• Pointwise symmetrization inequalities for Sobolev functions and applications
• The trace inequality and eigenvalue estimates for Schrödinger operators
• Best constant in Sobolev inequality
• Extrapolation and optimal decompositions: with applications to analysis
• On the operator \({\mathcal L}(f)=f\log|f|\)
• The uncertainty principle
• On equivalence of modular function spaces
• Entropy Numbers of Embeddings of Fractional Besov-Sobolev Spaces in Orlicz Spaces
• Approximation Numbers and Entropy Numbers of Embeddings of Fractional Besov-sobolev Spaces in Orlicz Spaces
• Tractable embeddings of Besov spaces into Zygmund spaces, II

This page was built for publication: On dimension-free Sobolev imbeddings. II