On the inclusions of spaces
We give some equivalent conditions (independent from the Young functions) for inclusions between some classes of spaces, where is a Young function and is a quasi-Banach function space on a -finite measure space .
On the John-Strömberg-Torchinsky Characterizstion of BMO.
On the k-convexity of the Besicovitch-Orlicz space of almost periodic functions with the Orlicz norm
Boulahia and the present authors introduced the Orlicz norm in the class -a.p. of Besicovitch-Orlicz almost periodic functions and gave several formulas for it; they also characterized the reflexivity of this space [Comment. Math. Univ. Carolin. 43 (2002)]. In the present paper, we consider the problem of k-convexity of -a.p. with respect to the Orlicz norm; we give necessary and sufficient conditions in terms of strict convexity and reflexivity.
On the Kolmogorov-Stein inequality.
On the KR and WKR points of Orlicz.
In this paper, we obtain criteria for KR and WKR points in Orlicz function spaces equipped with the Luxemburg norm.
On the lattice theory of function semi-norms.
On the locally uniformly weak star rotundity of Orlicz spaces.
In the paper, a sufficient and necessary condition is given for the locally uniformly weak star rotundity of Orlicz spaces with Orlicz norms.
On the Minimum Norm Projection on Closed Subspaces of L^p[0, 2*pi] and an Application
On the moduli of convexity and smoothness
On the moduli of convexity and smoothness in Orlicz spaces
On the non- and locally uniformly non- properties, and copies in Musielak-Orlicz spaces
On the nonsquare constants of the Orlicz function space L(Φ) [0, +∞).
Let L(Φ) [0, +∞) be the Orlicz function space generated by N-function Φ(u) with Luxemburg norm. We show the exact nonsquare constant of it when the right derivative φ(t) of Φ(u) is convex or concave.
On the order-topological properties of the quotient space
On the Orlicz-Sobolev algebra. (Sur l'algèbre d'Orlicz-Sobolev.)
On the orthogonal projections onto spaces of pluriharmonic functions and duality
On the positive absolutely summing operators on the space Lp(μ,X).
On the Radon-Nikodym property in locally convex spaces and the completeness of L1ε.
On the representation of Orlicz lattices
On the Schauder estimates of solutions to parabolic equations
On the solvability of nonlocal pluriparabolic problems.