Boundedness for Commutators of Calderón-Zygmund Operator on Herz-Type Hardy Space with Variable Exponent - Journal of Applied Mathematics and Physics

JAMP > Vol.4 No.6, June 2016

Boundedness for Commutators of Calderón-Zygmund Operator on Herz-Type Hardy Space with Variable Exponent ()

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Download as PDF (Size: 512KB) PP. 1157-1167

DOI: 10.4236/jamp.2016.46120 1,502 Downloads 2,418 Views Citations

Author(s)

Omer Abdalrhman^1,2*, Afif Abdalmonem^1,3, Shuangping Tao¹

Affiliation(s)

¹College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China.
²College of Education, Shendi University, Shendi, Sudan.
³Faculty of Science, University of Dalanj, Dalanj, Sudan.

ABSTRACT

Our aim in this paper is to prove the boundedness of commutators of Calderón-Zygmund operator with the Lipschitz function or BOM function on Herz-type Hardy space with variable exponent.

KEYWORDS

Commutator, Variable Exponent, Herz-Taype Hardy Spaces, BMO, Calderón-Zygmund Operator

Share and Cite:

Abdalrhman, O. , Abdalmonem, A. and Tao, S. (2016) Boundedness for Commutators of Calderón-Zygmund Operator on Herz-Type Hardy Space with Variable Exponent. Journal of Applied Mathematics and Physics, 4, 1157-1167. doi: 10.4236/jamp.2016.46120.

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