P-convexity of Musielak-Orlicz function spaces of Bochner type.

Pawel. Kolwicz; Ryszard Pluciennik

Revista Matemática Complutense (1998)

  • Volume: 11, Issue: 1, page 43-57
  • ISSN: 1139-1138

Abstract

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It is proved that the Musielak-Orlicz function space LF(mu,X) of Bochner type is P-convex if and only if both spaces LF(mu,R) and X are P-convex. In particular, the Lebesgue-Bochner space Lp(mu,X) is P-convex iff X is P-convex.

How to cite

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Kolwicz, Pawel., and Pluciennik, Ryszard. "P-convexity of Musielak-Orlicz function spaces of Bochner type.." Revista Matemática Complutense 11.1 (1998): 43-57. <http://eudml.org/doc/44481>.

@article{Kolwicz1998,
abstract = {It is proved that the Musielak-Orlicz function space LF(mu,X) of Bochner type is P-convex if and only if both spaces LF(mu,R) and X are P-convex. In particular, the Lebesgue-Bochner space Lp(mu,X) is P-convex iff X is P-convex.},
author = {Kolwicz, Pawel., Pluciennik, Ryszard},
journal = {Revista Matemática Complutense},
keywords = {P-convexidad; Espacios de funciones; Espacio reflexivo; Espacio de Orlicz; Espacios de Banach; Musielak-Orlicz function space; -convex; Lebesgue-Bochner space},
language = {eng},
number = {1},
pages = {43-57},
title = {P-convexity of Musielak-Orlicz function spaces of Bochner type.},
url = {http://eudml.org/doc/44481},
volume = {11},
year = {1998},
}

TY - JOUR
AU - Kolwicz, Pawel.
AU - Pluciennik, Ryszard
TI - P-convexity of Musielak-Orlicz function spaces of Bochner type.
JO - Revista Matemática Complutense
PY - 1998
VL - 11
IS - 1
SP - 43
EP - 57
AB - It is proved that the Musielak-Orlicz function space LF(mu,X) of Bochner type is P-convex if and only if both spaces LF(mu,R) and X are P-convex. In particular, the Lebesgue-Bochner space Lp(mu,X) is P-convex iff X is P-convex.
LA - eng
KW - P-convexidad; Espacios de funciones; Espacio reflexivo; Espacio de Orlicz; Espacios de Banach; Musielak-Orlicz function space; -convex; Lebesgue-Bochner space
UR - http://eudml.org/doc/44481
ER -

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