Noncreasy and uniformly noncreasy Orlicz-Bochner function spaces

DOI10.1016/j.na.2011.05.094zbMath1235.46024OpenAlexW2028491271MaRDI QIDQ640143

Zhong-Rui Shi, Chun Yan Liu

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.094

zbMATH Keywords

Orlicz-Bochner function spacesnoncreasyuniformly noncreasy

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) Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20)

Related Items (2)

Uniformly non-\(l_n^{(1)}\), locally uniformly non-\(l_n^{(1)}\) and non-\(l_n^{(1)}\) properties in Orlicz-Bochner function spaces endowed with the Orlicz norm ⋮ A kind of extension of the famous Young inequality

Cites Work

• Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm
• Characteristic of convexity of Köthe function spaces
• Noncreasy and uniformly noncreasy Orlicz function spaces.
• Orlicz spaces which are noncreasy
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• Banach spaces which are uniformly noncreasy
• Geometric properties of Köthe–Bochner spaces
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