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.
On the spectral properties of translation operators in one-dimensional tubes
We study the spectral properties of some group of unitary operators in the Hilbert space of square Lebesgue integrable holomorphic functions on a one-dimensional tube (see formula (1)). Applying the Genchev transform ([2], [5]) we prove that this group has continuous simple spectrum (Theorem 4) and that the projection-valued measure for this group has a very explicit form (Theorem 5).
On the spectrum of a one-parameter strongly continous representation.
On the spectrum of multipliers in Bessel potential spaces
On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm.
The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm. We give necessary and sufficient conditions in terms of the function f generating the space.
On the structure of separable spaces (1 < p < ∞)
On the topology induced by the adjoint of a semigroup of operators.
On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces
2000 Mathematics Subject Classification: 44A15, 44A35, 46E30In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable Besov-Dunkl space. We also give sufficient conditions on a function f in order that the Dunkl transform Fµ(f) of f is in a L^p -space.* Supported by 04/UR/15-02.
On the uniform convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm
In [5], we characterized the uniform convexity with respect to the Luxemburg norm of the Besicovitch-Orlicz space of almost periodic functions. Here we give an analogous result when this space is endowed with the Orlicz norm.
On the uniformly normal structure of Orlicz spaces with Orlicz norm
We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.