@Article{ATA-29-2,
author = {X., Wei, M.,  and Tao, S., P.},
title = {The Boundedness of Littlewood-Paley Operators with Rough Kernels on Weighted $(L^q, L^p)^{\alpha}(\mathbf{R}^n)$ Spaces},
journal = {Analysis in Theory and Applications},
year = {2013},
volume = {29},
number = {2},
pages = {135--148},
abstract = {<p style="text-align: justify;">In this paper, we shall deal with the boundedness of the Littlewood-Paley operators with rough kernel. We prove the boundedness of the Lusin-area integral $\mu_{\Omega,s}$ and Littlewood-Paley functions $\mu_{\Omega}$ and $\mu^{*}_{\lambda}$ on the weighted amalgam spaces $(L^{q}_\omega,L^{p})^{\alpha}(\mathbf{R}^{n})$ as $1 &lt; q\leq \alpha &lt; p\leq \infty$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2013.v29.n2.5},
url = {https://global-sci.com/article/74026/the-boundedness-of-littlewood-paley-operators-with-rough-kernels-on-weighted-lq-lpalphamathbfrn-spaces}
}