Density of smooth functions in Musielak-Orlicz spaces

DOI10.1007/S43037-022-00204-7zbMath1504.46034arXiv2201.05694OpenAlexW4289947493WikidataQ113890380 ScholiaQ113890380MaRDI QIDQ2169900

Yanyan Li

Publication date: 30 August 2022

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.05694

zbMATH Keywords

Musielak-Orlicz spacesvariable exponent spacesdensity of smooth functions in Musielak-Orlicz space

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) Banach lattices (46B42) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (1)

Dyadic maximal operators on martingale Musielak-Orlicz Hardy type spaces and applications

Cites Work

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• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• Orlicz spaces and modular spaces
• Functional analysis, Sobolev spaces and partial differential equations
• Indices, convexity and concavity in Musielak-Orlicz spaces
• Orlicz spaces and generalized Orlicz spaces
• Uniform convexity, reflexivity, superreflexivity and \(B\) convexity of generalized Sobolev spaces \(W^{1, \Phi }\)
• The Daugavet property in the Musielak-Orlicz spaces
• Generalized Orlicz spaces and related PDE
• Some approximation results in Musielak-Orlicz spaces

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