$\mathbb{R}$n)空间,变量核," /> $\mathbb{R}$n)空间,变量核,"/> $\mathbb{R}$n) ,Variable kernel,"/> Boundedness of Marcinkiewicz Integrals and Commutators with Variable Kernel on Morrey Spaces with Variable Exponents

Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (6): 1067-1075.

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Boundedness of Marcinkiewicz Integrals and Commutators with Variable Kernel on Morrey Spaces with Variable Exponents

Xukui Shao1,*(),Shuangping Tao2   

  1. 1 School of Mathematics and Statistics, Long Dong University, Gansu Qingyang 745000
    2 School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070
  • Received:2017-05-24 Online:2018-12-26 Published:2018-12-27
  • Contact: Xukui Shao E-mail:shwangsp@126.com
  • Supported by:
    the NSFC(11561062);the College Scientific Research Project of Gansu Province(2017A-100)

Abstract:

In this paper, we using the boundednes results of Marcinkiewicz integrals with variable kernels μΩ and their commutators μΩb which generated by μΩ and BMO function b on Lebesgue spaces with variable exponents, the boundednes results are established on Morrey spaces with variable exponents..

Key words: Marcinkiewicz integrals, Morrey spaces with variable exponent, $\mathbb{R}$n) ')"> BMO ($\mathbb{R}$n) , Variable kernel

CLC Number: 

  • O174.2
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