Abstract:

Based on the structural characteristics of the Orlicz function spaces endowed with the generalized Orlicz norm and the expositions of Hpoints in classical Orlicz spaces, the criteria of Hpoints in Orlicz function spaces endowed with the generalized Orlicz norm were presented. As its application, both sufficient and necessary conditions for Hproperty of these spaces were obtained.

Key words: generalized Orlicz norm, Orlicz function space, Hpoint, Hproperty