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Density of \(C^\infty_0(R^n)\) in generalized Orlicz-Sobolev space \(W^k_MW(R^n)\)

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Publication:1257640
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zbMath0406.46025MaRDI QIDQ1257640

Henryk Hudzik

Publication date: 1979

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)


zbMATH Keywords

Phi-Functions


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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)


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Gossez's approximation theorems in Musielak-Orlicz-Sobolev spaces ⋮ Some properties of Musielak spaces with only the log-Hölder continuity condition and application ⋮ Variational nonlinear elliptic equations in nonreflexive Musielak spaces ⋮ On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)



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