\(H=W\) Musielak spaces framework
DOI10.4171/RLM/899zbMath1460.46019OpenAlexW3038391164MaRDI QIDQ2192709
Alberto Fiorenza, Youssef Ahmida, Ahmed Youssfi
Publication date: 17 August 2020
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/rlm/899
Orlicz-Sobolev spacesvariable exponent Sobolev spacesdensity of smooth functionsmodular convergencelog-Hölder continuity conditionMeyers-Serrin theoremMusielak 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) Modular spaces (46A80)
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Cites Work
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Density of smooth functions in variable exponent Sobolev spaces
- Lebesgue and Sobolev spaces with variable exponents
- Orlicz spaces and modular spaces
- On the density of continuous functions in variable exponent Sobolev space
- Gossez's approximation theorems in Musielak-Orlicz-Sobolev spaces
- Orlicz spaces and generalized Orlicz spaces
- The Daugavet property in the Musielak-Orlicz spaces
- Orlicz-Sobolev spaces and imbedding theorems
- Approximate identities in variableLp spaces
- Some approximation properties in Orlicz-Sobolev spaces
- Density of smooth functions in W k, p(x) ( Ω )
- Analysis on Function Spaces of Musielak-Orlicz Type
- H = W
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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