@Article{ATA-36-52,
author = {Hawawsheh , LaithAl-Salman , Ahmad and Momani , Shaher},
title = {A Note on Rough Parametric Marcinkiewicz Functions},
journal = {Analysis in Theory and Applications},
year = {2020},
volume = {36},
number = {1},
pages = {52--59},
abstract = {<p style="text-align: justify;">In this note, we obtain sharp $L^{p}$ estimates of parametric Marcinkiewicz integral operators. Our result resolves a long standing open problem. Also, we present a class of parametric Marcinkiewicz integral operators that are bounded provided that their kernels belong to the sole space $L^{1}\left( \mathbb{S}^{n-1}\right) $.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2017-0074},
url = {http://global-sci.org/intro/article_detail/ata/16913.html}
}