Characterization of inclusion among Riesz−Medvedev variation spaces

Wadie Aziz, and Tomás Ereú. "Characterization of inclusion among Riesz−Medvedev variation spaces." Commentationes Mathematicae 56.2 (2016): null. <http://eudml.org/doc/292488>.

@article{WadieAziz2016,
abstract = {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 $\varphi _1$ and $\varphi _2$ so that $RV_\{\varphi _\{1\}\}[a,b]\subset RV_\{\varphi \{_\{2\}\}\}[a,b]$ or $RV^*_\{\varphi _\{1\}\}[a,b]\subset RV^*_\{\varphi _\{2\}\}[a,b]$.},
author = {Wadie Aziz, Tomás Ereú},
journal = {Commentationes Mathematicae},
keywords = {Banach spaces; $\varphi $-bounded variation},
language = {eng},
number = {2},
pages = {null},
title = {Characterization of inclusion among Riesz−Medvedev variation spaces},
url = {http://eudml.org/doc/292488},
volume = {56},
year = {2016},
}

TY - JOUR
AU - Wadie Aziz
AU - Tomás Ereú
TI - Characterization of inclusion among Riesz−Medvedev variation spaces
JO - Commentationes Mathematicae
PY - 2016
VL - 56
IS - 2
SP - null
AB - 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 $\varphi _1$ and $\varphi _2$ so that $RV_{\varphi _{1}}[a,b]\subset RV_{\varphi {_{2}}}[a,b]$ or $RV^*_{\varphi _{1}}[a,b]\subset RV^*_{\varphi _{2}}[a,b]$.
LA - eng
KW - Banach spaces; $\varphi $-bounded variation
UR - http://eudml.org/doc/292488
ER -