Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm
Commentationes Mathematicae Universitatis Carolinae (1992)
- Volume: 33, Issue: 4, page 615-621
- ISSN: 0010-2628
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topHudzik, Henryk, and Landes, Thomas. "Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm." Commentationes Mathematicae Universitatis Carolinae 33.4 (1992): 615-621. <http://eudml.org/doc/247402>.
@article{Hudzik1992,
abstract = {In this paper we extend the result of [6] on the characteristic of convexity of Orlicz spaces to the more general case of Musielak-Orlicz spaces over a non-atomic measure space. Namely, the characteristic of convexity of these spaces is computed whenever the Musielak-Orlicz functions are strictly convex.},
author = {Hudzik, Henryk, Landes, Thomas},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Musielak-Orlicz space; modulus of convexity; characteristic of convexity; the $\Delta _2$-condition; modulus of convexity; characteristic of convexity; - condition; Musielak-Orlicz spaces over a nonatomic measure space},
language = {eng},
number = {4},
pages = {615-621},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm},
url = {http://eudml.org/doc/247402},
volume = {33},
year = {1992},
}
TY - JOUR
AU - Hudzik, Henryk
AU - Landes, Thomas
TI - Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 4
SP - 615
EP - 621
AB - In this paper we extend the result of [6] on the characteristic of convexity of Orlicz spaces to the more general case of Musielak-Orlicz spaces over a non-atomic measure space. Namely, the characteristic of convexity of these spaces is computed whenever the Musielak-Orlicz functions are strictly convex.
LA - eng
KW - Musielak-Orlicz space; modulus of convexity; characteristic of convexity; the $\Delta _2$-condition; modulus of convexity; characteristic of convexity; - condition; Musielak-Orlicz spaces over a nonatomic measure space
UR - http://eudml.org/doc/247402
ER -
References
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