Monotonicity and best approximation in Orlicz--Sobolev spaces with the Luxemburg norm
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Publication:929546
DOI10.1016/j.jmaa.2008.02.015zbMath1153.46014OpenAlexW2053287936MaRDI QIDQ929546
Xin He, Henryk Hudzik, Shutao Chen, Anna Kaminska
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.2008.02.015
Orlicz-Sobolev spacesbest approximationuniform monotonicitystrict monotonicityupper (lower) local uniform monotonicity
Related Items (8)
Smoothness and approximative compactness in Orlicz function spaces ⋮ Complex extreme points and complex convexity in Orlicz-Bochner function spaces ⋮ Local approach to monotonicity properties in \(\psi\)-direct sums of Köthe spaces ⋮ Monotonicity Properties of Banach Lattices and Their Applications – a Survey ⋮ A kind of extension of the famous Young inequality ⋮ Points of monotonicity in Orlicz-Lorentz function spaces ⋮ Approximative compactness and Asplund property in Banach function spaces and in Orlicz-Bochner spaces in particular with application ⋮ Geometry of Orlicz spaces equipped with norms generated by some lattice norms in \(\mathbb{R}^{2}\)
Cites Work
- Orlicz spaces and modular spaces
- Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation
- Monotonicity properties of Musielak-Orlicz spaces and dominated best approximation in Banach lattices
- Banach lattices with order isometric copies of \(l^\infty\)
- Monotone coefficients and monotonicity of Orlicz spaces
- Points of monotonicity in Musielak--Orlicz function spaces endowed with the Luxemburg norm
- Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\)
- Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces
- Best approximants in modular function spaces
- Best approximants in L ? -spaces
- Some approximation properties in Orlicz-Sobolev spaces
- On uniqueness of bestL1-approximation in sobolev spaces
- Monotonicity Properties of Lorentz Spaces
- Equivalent Norms for Sobolev Spaces
- Relationships between monotonicity and complex rotundity properties with some consequences
- Monotonicity and rotundity properties in Banach lattices
- Best approximation in inner product spaces
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
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