# Characterization of inclusion among Riesz−Medvedev variation spaces

Commentationes Mathematicae (2016)

- Volume: 56, Issue: 2
- ISSN: 2080-1211

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topWadie 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 -

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