Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by \(L^{p}\)-modulus of smoothness
DOI10.1016/j.jfa.2018.10.023zbMath1407.26021OpenAlexW2900318900MaRDI QIDQ1628411
Júlio S. Neves, Bohumír Opic, Amiran Gogatishvili
Publication date: 4 December 2018
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2018.10.023
embeddingsrearrangement-invariant Banach function spacesHardy-type operatorsSobolev-type and Hölder-type spaces
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) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Banach lattices (46B42) Inequalities for sums, series and integrals (26D15) Special properties of functions of several variables, Hölder conditions, etc. (26B35)
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Cites Work
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- Sobolev inequalities in arbitrary domains
- Estimates for continuity envelopes and approximation numbers of Bessel potentials
- Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
- Local growth envelopes of Besov spaces of generalized smoothness
- Reiteration theorems for real interpolation and approximation spaces
- Interpolation of linear operators on Sobolev spaces
- On embeddings of logarithmic Bessel potential spaces
- Weighted modular inequalities for monotone functions
- Optimal Orlicz-Sobolev embeddings
- Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
- Regular variation and differential equations
- Higher-order Sobolev embeddings and isoperimetric inequalities
- Reduction theorems for operators on the cones of monotone functions
- Embeddings of Sobolev-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness
- Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness
- Sharp embeddings of Besov-type spaces
- Interpolation orbits and optimal Sobolev's embeddings
- Reduction theorems for weighted integral inequalities on the cone of monotone functions
- Boundedness of classical operators on classical Lorentz spaces
- On some characterizations of Besov spaces of generalized smoothness
- Besov Spaces on Domains in ℝ d
- On generalized Lorentz-Zygmund spaces
- Weighted $L_{Φ}$ integral inequalities for operators of Hardy type
- The modular inequalities for a class of convolution operators on monotone functions
- Real Interpolation with Logarithmic Functors and Reiteration
- Limiting reiteration for real interpolation with slowly varying functions
- A sharp embedding theorem for Orlicz-Sobolev spaces
- Lorentz–Karamata spaces, Bessel and Riesz potentials and embeddings
- Weak-type weights and normable Lorentz spaces
- Interpolation of Quasi-Normed Spaces.
