@Article{ATA-29-135, author = {X. M. Wei , 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 = {

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 $1 < q\leq \alpha < p\leq \infty$.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n2.5}, url = {http://global-sci.org/intro/article_detail/ata/4522.html} }