TY - CHAP
T1 - Definition and examples of orlicz spaces
AU - Rubshtein, Ben Zion A.
AU - Grabarnik, Genady Ya
AU - Muratov, Mustafa A.
AU - Pashkova, Yulia S.
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.
PY - 2016/1/1
Y1 - 2016/1/1
N2 - In this chapter, we begin our study of Orlicz functions Φ and corresponding Orlicz spaces LΦ. We prove that (LΦ, ∥·∥LΦ) is a maximal symmetric space, find the fundamental functions φLΦ of LΦ, and consider several simple examples.
AB - In this chapter, we begin our study of Orlicz functions Φ and corresponding Orlicz spaces LΦ. We prove that (LΦ, ∥·∥LΦ) is a maximal symmetric space, find the fundamental functions φLΦ of LΦ, and consider several simple examples.
UR - http://www.scopus.com/inward/record.url?scp=85006240113&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-42758-4_13
DO - 10.1007/978-3-319-42758-4_13
M3 - Chapter
AN - SCOPUS:85006240113
T3 - Developments in Mathematics
SP - 171
EP - 182
BT - Developments in Mathematics
PB - Springer New York LLC
ER -