On maximal functions in Orlicz spaces

On difference sequence spaces defined by Orlicz functions without convexity

In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.  

Maximal Inequalities of Kahane-Khintchine’s Type in Orlicz Spaces

Several maximal inequalities of Kahane-Khintchine’s type in certain Orlicz spaces are proved. The method relies upon Lévy’s inequality and the technique established in [14] which is obtained by Haagerup-Young-Stechkin’s best possible constants in the classical Khintchine inequalities. Moreover by using Donsker’s invariance principle it is shown that the numerical constant in the inequality dedu...

double sequence spaces defined by orlicz functions

in this paper we introduce some new double sequence spaces using the orlicz function andexamine some properties of the resulting sequence spaces.

on difference sequence spaces defined by orlicz functions without convexity

in this paper, we first define spaces of single difference sequences defined by a sequence of orlicz functions without convexity and investigate their properties. then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.

Refinements of s-Orlicz Convex Functions in Normed Linear Spaces