Generalized Orlicz Spaces and Weak Orlicz Spaces
Siti Fatimah1, Rian Dermawan2, Sofihara Al Hazmy3, Al Azhary Masta4

1,2,4Department of Mathematics Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, Indonesia

3Faculty of Military Mathematics and Science, Universitas Pertahanan Republik Indonesia, Kawasan IPSC Sentul, Sukahati, Bogor, Jawa Barat 16810

Abstract

In this paper we discuss the structure of generalized Orlicz spaces and generalized weak Orlicz spaces on \R^n. First we construct a generalized Young function. Next, we also obtain generalized Orlicz spaces and generalized weak Orlicz spaces. One of the keys to prove our results is to use the generalized Young function.

Keywords: Orlicz spaces, Weak Orlic spaces, Generalized Orlicz spaces, Generalized Young function

Topic: Mathematics