Boundedness of Parametrized Littlewood-Paley Operators with Variable Kernels on weighted Morrey Spaces

Yinping Xin, Shanlin Wang, Xiaohua Chen, Shuo Liu

Abstract


In this paper,we establish the boundedness of parameterized area integral \(\mu_{\Omega,S}^{\rho}\) and the Littlewood-Paley \(g_{\lambda}^{\ast}\) function \(\mu_{\Omega,\lambda}^{\ast,\rho}\) with variable kernel on weighted Morrey space \(L^{p,k}(\omega)\).

Keywords


Parameterized Littlewood-Paley Operator, Parameterized area integral, variable kernel, weighted Morrey space

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DOI: http://dx.doi.org/10.26713%2Fjims.v9i1.500

eISSN 0975-5748; pISSN 0974-875X