Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.
Hudzik, Henryk ; Zbaszyniak, Zenon
Collectanea Mathematica, Tome 48 (1997), p. 543-561 / Harvested from Biblioteca Digital de Matemáticas

A formula for the distance of an arbitrary element x in Musielak-Orlicz space L^Phi from the subspace E^Phi of order continuous elements is given for both (the Luxemburg and the Orlicz) norms. A formula for the norm in the dual space of L^Phi is given for any of these two norms. Criteria for smooth points and smoothness in L^Phi and E^Phi equipped with the Orlicz norm are presented.

Publié le : 1997-01-01
DMLE-ID : 338
@article{urn:eudml:doc:40795,
     title = {Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.},
     journal = {Collectanea Mathematica},
     volume = {48},
     year = {1997},
     pages = {543-561},
     zbl = {0904.46018},
     mrnumber = {MR1602592},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40795}
}
Hudzik, Henryk; Zbaszyniak, Zenon. Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.. Collectanea Mathematica, Tome 48 (1997) pp. 543-561. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40795/