Amemiya norm equals Orlicz norm in Musielak--Orlicz spaces

DOI10.1007/s10114-005-0865-1zbMath1129.46020OpenAlexW2113521065MaRDI QIDQ884887

Xian-Ling Fan

Publication date: 7 June 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0865-1

zbMATH Keywords

Luxemburg normOrlicz normAmemiya normMusielak-Orlicz spaces

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) Inequalities involving other types of functions (26D07)

Related Items (5)

Generalizing algebraically defined norms ⋮ Boundedness of maximal operators and potential operators on Carleson curves in Lebesgue spaces with variable exponent ⋮ Smoothness of the Orlicz norm in Musielak–Orlicz function spaces ⋮ Variable exponent Morrey and Campanato spaces ⋮ The Daugavet property in the Musielak-Orlicz spaces

Cites Work

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• Orlicz spaces and modular spaces
• Extreme points and strongly extreme points of Musielak--Orlicz sequences spaces
• Convolution type operators inl^p(x)
• OnL^p(x)norms
• The regularity of Lagrangiansf(x, ξ)=254-01254-01254-01with Hölder exponents α(x)
• Amemiya norm equals Orlicz norm in general
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
• On the duality mapping sets in Orlicz sequence spaces

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