In this paper we introduce a new class of sequence space namely the semi orlicz space of   analytic. It is shown that the intersection of all semi orlicz space of   of analytic is the semi orlicz space of   of analytic. Mathematics Subject Classification: 40A05, 40C05, 40D05

We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.

This work deals with the Orlicz space and Hardy-Orlicz classes generated by this space, which consist of analytic functions inside outside unit disk. The homogeneous Riemann boundary value problems piecewise continuous coefficients are considered in these classes. New characteristic is defined depends on whether power function belongs to or not. Relationship between Boyd indices established. co...

Free interpolation in Hardy spaces is caracterized by the well-known Carleson condition. The result extends to Hardy-Orlicz spaces contained in the scale of classical Hardy spaces H, p > 0. For the Smirnov and the Nevanlinna classes, interpolating sequences have been characterized in a recent paper in terms of the existence of harmonic majorants (quasi-bounded in the case of the Smirnov class)....

We study the expected value of support functions of random polytopes in a certain direction, where the random polytope is given by independent random vectors uniformly distributed in an isotropic convex body. All results are obtained by an utterly novel approach, using probabilistic estimates in connection with Orlicz norms that were not used in this connection before.

In this article we define different type of statistically convergent, statistically null and statistically bounded double sequence spaces on a seminormed space by Orlicz functions. We study their different properties like solidness, denseness, symmetricity, completeness etc. We obtain some inclusion relations.