A notion of Orlicz spaces for vector valued functions

@article{Schappacher2005,
abstract = {The notion of the Orlicz space is generalized to spaces of Banach-space valued functions. A well-known generalization is based on $N$-functions of a real variable. We consider a more general setting based on spaces generated by convex functions defined on a Banach space. We investigate structural properties of these spaces, such as the role of the delta-growth conditions, separability, the closure of $\mathcal \{L\}^\{\infty \}$, and representations of the dual space.},
author = {Schappacher, Gudrun},
journal = {Applications of Mathematics},
keywords = {vector valued function; Orlicz space; Luxemburg norm; delta-growth condition; duality; vector valued function; Orlicz space; Luxemburg norm; delta-growth condition; duality},
language = {eng},
number = {4},
pages = {355-386},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A notion of Orlicz spaces for vector valued functions},
url = {http://eudml.org/doc/33227},
volume = {50},
year = {2005},
}

TY - JOUR
AU - Schappacher, Gudrun
TI - A notion of Orlicz spaces for vector valued functions
JO - Applications of Mathematics
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 4
SP - 355
EP - 386
AB - The notion of the Orlicz space is generalized to spaces of Banach-space valued functions. A well-known generalization is based on $N$-functions of a real variable. We consider a more general setting based on spaces generated by convex functions defined on a Banach space. We investigate structural properties of these spaces, such as the role of the delta-growth conditions, separability, the closure of $\mathcal {L}^{\infty }$, and representations of the dual space.
LA - eng
KW - vector valued function; Orlicz space; Luxemburg norm; delta-growth condition; duality; vector valued function; Orlicz space; Luxemburg norm; delta-growth condition; duality
UR - http://eudml.org/doc/33227
ER -