Lower and upper estimations of the modulus of convexity in some Orlicz spaces

DOI10.1007/BF01200043zbMath0727.46013MaRDI QIDQ803474

Henryk Hudzik

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Lindberg and Simonenko indicesmodulus of convexity for Orlicz spaces generated by Orlicz functions such that their compositions with the square root are convex 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) Geometry and structure of normed linear spaces (46B20)

Related Items (2)

Weak Uniform Rotundity of Orlicz Sequence Spaces ⋮ Moduli and characteristics of monotonicity in general Banach lattices and in Orlicz spaces in particular

Cites Work

• Orlicz spaces and modular spaces
• On the uniform convexity of \(L^p\) and \(l^p\)
• On the isometries of certain function-spaces
• Geometry of Banach spaces. Selected topics
• On the moduli of convexity and smoothness in Orlicz spaces
• On the moduli of convexity and smoothness
• On some classes of functions with regard to their orders of growth
• On a generalization of regularly increasing functions
• On subspaces of Orlicz sequences spaces
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