Commutators of Fractional Integral with Variable Kernel on Variable Exponent Herz and Lebesgue Spaces


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Authors

  • Afif Abdalmonem College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu, P.R. China
  • Omer Abdalrhman College of Education, Shendi University, Shendi, River Nile State, Sudan
  • Shuangping Tao College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu, P.R. China

Keywords:

Fractional integral, variable kernel, commutator, variable exponent, BMO function, Lebesgue spaecs, Herz spaces

Abstract

In this paper, we study the boundedness for commutators of the fractional integral with variable kernel on Lebesgue spaecs with variable exponent. Also, we study the boundedness of the fractional integral operator and their commutator generated by BMO function is obtained on those Herz spaces with two variable exponent $p(\cdot), q(\cdot)$.

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Published

01-09-2016

How to Cite

Afif Abdalmonem, Omer Abdalrhman, & Shuangping Tao. (2016). Commutators of Fractional Integral with Variable Kernel on Variable Exponent Herz and Lebesgue Spaces. International Journal of Mathematics And Its Applications, 4(3 - A), 29–40. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/970

Issue

Vol. 4 No. 3 - A (2016)

Section

Research Article

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