On a rearrangement-invariant function set that appears in optimal Sobolev embeddings
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Publication:929556
DOI10.1016/j.jmaa.2008.03.029zbMath1157.46017OpenAlexW2071300520MaRDI QIDQ929556
Publication date: 17 June 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.029
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (7)
BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities ⋮ New estimates for the maximal functions and applications ⋮ Embedding property on rearrangement invariant spaces ⋮ Isoperimetric Hardy Type and Poincaré Inequalities on Metric Spaces ⋮ Pointwise symmetrization inequalities for Sobolev functions and applications ⋮ Isoperimetry and symmetrization for logarithmic Sobolev inequalities ⋮ Isoperimetry and symmetrization for Sobolev spaces on metric spaces
Cites Work
- Sobolev type inequalities in ultrasymmetric spaces with applications to Orlicz-Sobolev embeddings
- Weak-\(L^\infty\) and BMO
- Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
- Functional properties of rearrangement invariant spaces defined in terms of oscillations
- Imbedding theorems of Sobolev type in potential theory.
- A note on limiting cases of sobolev embeddings and convolution inequalities
- ON SHARP HIGHER ORDER SOBOLEV EMBEDDINGS
- Optimal interpolation in spaces of Lorentz-Zygmund type
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