On the moduli of convexity and smoothness in Orlicz spaces

DOI10.4064/sm-54-2-131-141zbMath0328.46025OpenAlexW1425163138MaRDI QIDQ4093971

R. P. Maleev, Stanimir Troyanski

Publication date: 1975

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/217973

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)

Related Items (10)

General convexity of some functionals in seminormed spaces and seminormed algebras ⋮ Moduli of convexity and smoothness of reflexive subspaces of \(L^{1}\) ⋮ Uniformly convex renormings and generalized cotypes ⋮ The dimension of almost spherical sections of convex bodies ⋮ Smoothness of functions versus smoothness of approximation processes ⋮ Sharp Marchaud and converse inequalities in Orlicz spaces ⋮ Strong solvability in Orlicz spaces ⋮ Finite slicing in superreflexive Banach spaces ⋮ Lower and upper estimations of the modulus of convexity in some Orlicz spaces ⋮ Orlicz norm estimates for eigenvalues of matrices

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