Year: 2017
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 3 : pp. 253–266
Abstract
In an abstract set up, we get strong type inequalities in $L^{p+1}$ by assuming 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 $L^{\Phi}$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2017.v33.n3.6
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 3 : pp. 253–266
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Simonenko indices maximal inequalities best approximation.