The theory of the H-property plays an important role in the geometry of Banach spaces, particularly in connection with geometric notions such as strict convexity, midpoint local uniform convexity, and the G-property. In this talk, we investigate the H-property of Orlicz spaces equipped with $s$-norms over both non-atomic and purely atomic measure spaces, together with some of its applications. Our results provide new insight into the relationship between norm structures and geometric properties in Orlicz spaces and establish a unified approach to $s$-norms.

Joint work with Serap \"{O}ztop.

Supported by the Scientific and Technological Research Council of Türkiye (TÜBİTAK), project number 123F368.