# A notion of Orlicz spaces for vector valued functions

Applications of Mathematics (2005)

- Volume: 50, Issue: 4, page 355-386
- ISSN: 0862-7940

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topSchappacher, Gudrun. "A notion of Orlicz spaces for vector valued functions." Applications of Mathematics 50.4 (2005): 355-386. <http://eudml.org/doc/33227>.

@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 -

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