Characterization of inclusion among Riesz−Medvedev variation spaces
Commentationes Mathematicae, Tome 56 (2016) no. 2.
Voir la notice de l'article dans European Digital Mathematics Library
We present a characterization of inclusion among Riesz−Medvedev bounded variation spaces, i.e., we shall present necessary and sufficient conditions for the Young functions
ϕ
1
and
ϕ
2
so that
R
V
ϕ
1
[
a
,
b
]
⊂
R
V
ϕ
2
[
a
,
b
]
or
R
V
ϕ
1
*
[
a
,
b
]
⊂
R
V
ϕ
2
*
[
a
,
b
]
.
Mots-clés :
Banach spaces, $\varphi $-bounded variation
@article{COMA_2016__56_2_292488, author = {Wadie Aziz and Tom\'as Ere\'u}, title = {Characterization of inclusion among {Riesz\ensuremath{-}Medvedev} variation spaces}, journal = {Commentationes Mathematicae}, publisher = {mathdoc}, volume = {56}, number = {2}, year = {2016}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/COMA_2016__56_2_292488/} }
Wadie Aziz; Tomás Ereú. Characterization of inclusion among Riesz−Medvedev variation spaces. Commentationes Mathematicae, Tome 56 (2016) no. 2. https://geodesic-test.mathdoc.fr/item/COMA_2016__56_2_292488/