The Boundedness of Littlewood-Paley Operators with Rough Kernels on Weighted $(L^q, L^p)^{\alpha}(\mathbf{R}^n)$ Spaces
Year: 2013
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 2 : pp. 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 $1 < q\leq \alpha < p\leq \infty$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2013.v29.n2.5
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 2 : pp. 135–148
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Littlewood-Paley operator weighted amalgam space rough kernel $A_p$ weight.
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