Composition operators C− between Orlicz spaces L.;6;1⁄4/ generated by measurable and nonsingular transformations − from  into itself are considered. We characterize boundedness and compactness of the composition operator between Orlicz spaces in terms of properties of the mapping − , the function ' and the measure space .;6;1⁄4/. These results generalize earlier results known for L p-spaces....

Let Γ 2 π denote the space of all double entire rate sequences. Let Λ 2 π denote the space of all double analytic rate sequences. This paper is devoted to a study of the general properties of Nörlund double Orlicz space η Γ 2 f π of entire rate sequences and Nörlund double Orlicz space η Λ 2 f π of analytic rate sequences.

We study certain twisted sums of Orlics spaces with non-trivial type which can be viewed as Fenchel-Orlicz spaces on R2. We then show that a large class of Fenchel-Orlicz spaces on R" can be renormed to have property (M). In particular this gives a new construction of the twisted Hilbert space 22 and shows it has property (M), after an appropriate renorming.

In the present paper we introduce and study some lacunary difference bicomplex sequence spaces by means of Orlicz functions. We make an effort to algebraic topological properties these spaces. also show that are complete paranormed Further, inclusion relations between interesting examples established. Finally, prove results on modified complex Banach Algebra in third section paper.

In this article we discuss lattice convexity and concavity of Calderón-Lozanovskii space Eφ , generated by a quasi-Banach space E and an increasing Orlicz function φ. We give estimations of convexity and concavity indices of Eφ in terms of Matuszewska-Orlicz indices of φ as well as convexity and concavity indices of E. In the case when Eφ is a rearrangement invariant space we also provide some ...

The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalized α-admissible modular contractive mappings in modular metric spaces. As applications, we deriv...