Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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SOME PROPERTIES OF ORLICZ-LORENTZ SPACES

HA HUY BANG, NGUYEN VAN HOANG, VU NHAT HUY

pp. 145-167

Abstract

In this paper we study some fundamental properties of Orlicz-Lorentz spaces defined on $\mathbb R $ such as finding their dual spaces, giving best constants for the inequalities between the Orlicz norm and the Luxemburg norm on Orlicz-Lorentz spaces and establishing the Kolmogorov inequality in these spaces.