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

Authors

  • Yinping Xin Department of Mathematics,Longqiao College of Lanzhou University of Finance and Economics, Lanzhou
  • Shanlin Wang Department of Mathematics,Longqiao College of Lanzhou University of Finance and Economics, Lanzhou
  • Xiaohua Chen Department of Mathematics,Longqiao College of Lanzhou University of Finance and Economics, Lanzhou
  • Shuo Liu Department of Mathematics,Longqiao College of Lanzhou University of Finance and Economics, Lanzhou

DOI:

https://doi.org/10.26713/jims.v9i1.500

Keywords:

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

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 \(L^{p,k}(\omega)\).

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Published

2017-06-09
CITATION

How to Cite

Xin, Y., Wang, S., Chen, X., & Liu, S. (2017). Boundedness of Parametrized Littlewood-Paley Operators with Variable Kernels on weighted Morrey Spaces. Journal of Informatics and Mathematical Sciences, 9(1), 79–87. https://doi.org/10.26713/jims.v9i1.500

Issue

Vol. 9 No. 1 (2017)

Section

Research Articles

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