Journal of Jilin University Science Edition

Previous Articles     Next Articles

Weak Estimates for LittlewoodPaley Operators withRough Kernels on the Weighted Morrey Spaces

DAI Huiping, TAO Shuangping, GOU Yinxia   

  1. College of Mathematics and Statistics Science, Northwest Normal University, Lanzhou 730070, China
  • Received:2013-10-29 Online:2014-09-26 Published:2014-09-26
  • Contact: TAO Shuangping E-mail:taosp@nwnu.edu.cn

Abstract:

With the help of the weighted inequalities and boundedness on the weighted Lebesgue spaces, the weak type estimates of the square function with rough kernel and LittlewoodPaley g*λfunction are obtained respectively on the weighted Morrey spaces Lp,κ(ω) as the kernel 
Ω∈Lq(Sn-1)(1n-1.

Key words: Littlewood-Paley operators, weak Morrey spaces, Ap weights

CLC Number: 

  • O174.2