@inbook{d4b99a7b7166479485327a4a66caf344,
title = "Duality for Orlicz spaces",
abstract = "In this chapter, we consider associate spaces LΦ1 of Orlicz spaces LΦ. Using the Legendre transform of an Orlicz function Φ, we define the conjugate Orlicz function ψ just as the Legendre transform of Φ. We prove that the spaces LΦ1 and Lψ coincide as sets and ∥·∥Lψ ≤ ∥·∥LΦ1 ≤ 2∥ ∥Lψ. The duality between LΦ and Lψ is studied in detail.",
author = "Rubshtein, {Ben Zion A.} and Grabarnik, {Genady Ya} and Muratov, {Mustafa A.} and Pashkova, {Yulia S.}",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",
year = "2016",
month = jan,
day = "1",
doi = "10.1007/978-3-319-42758-4_15",
language = "English",
series = "Developments in Mathematics",
publisher = "Springer New York LLC",
pages = "195--205",
booktitle = "Developments in Mathematics",
}