@Article{ATA-33-253,
author = {S. Acinas and S. Favier},
title = {Maximal Inequalities for the Best Approximation Operator and Simonenko Indices},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {33},
number = {3},
pages = {253--266},
abstract = {<p style="text-align: justify;">In an abstract set up, we get strong type inequalities in $L^{p+1}$ by assuming &nbsp;weak or extra-weak inequalities in Orlicz spaces. For some classes of functions, the number $p$ is related to Simonenko indices. We apply the results to get strong inequalities for maximal functions associated to best $\Phi$-approximation operatorsin an Orlicz space $L^{\Phi}$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2017.v33.n3.6},
url = {http://global-sci.org/intro/article_detail/ata/10516.html}
}