Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm

Henryk Hudzik; L. Wang; Ting Fu Wang

Commentationes Mathematicae Universitatis Carolinae (2001)

  • Volume: 42, Issue: 3, page 487-497
  • ISSN: 0010-2628

Abstract

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First, we extend the criteria for smooth points of S ( L M ) from [22] to the whole class of Musielak-Orlicz spaces. Next, we present criteria for very smooth and strongly smooth points of S ( L M ) .

How to cite

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Hudzik, Henryk, Wang, L., and Wang, Ting Fu. "Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm." Commentationes Mathematicae Universitatis Carolinae 42.3 (2001): 487-497. <http://eudml.org/doc/248772>.

@article{Hudzik2001,
abstract = {First, we extend the criteria for smooth points of $S(L_\{M\})$ from [22] to the whole class of Musielak-Orlicz spaces. Next, we present criteria for very smooth and strongly smooth points of $S(L_\{M\})$.},
author = {Hudzik, Henryk, Wang, L., Wang, Ting Fu},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {smooth points; very smooth points; strongly smooth points; Musielak-Orlicz function spaces; Luxemburg norm; smooth points; very smooth points; strongly smooth points; Luxemburg norm},
language = {eng},
number = {3},
pages = {487-497},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm},
url = {http://eudml.org/doc/248772},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Hudzik, Henryk
AU - Wang, L.
AU - Wang, Ting Fu
TI - Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 3
SP - 487
EP - 497
AB - First, we extend the criteria for smooth points of $S(L_{M})$ from [22] to the whole class of Musielak-Orlicz spaces. Next, we present criteria for very smooth and strongly smooth points of $S(L_{M})$.
LA - eng
KW - smooth points; very smooth points; strongly smooth points; Musielak-Orlicz function spaces; Luxemburg norm; smooth points; very smooth points; strongly smooth points; Luxemburg norm
UR - http://eudml.org/doc/248772
ER -

References

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