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Cuz-Uribe, D., Fiorenza, A., Martell, J.M. and Perez, C. (2006) The Boundedness of Classical Operators on Variable Lp Spaces. Annales Academiae Scientiarum Fennicae-Mathematica, 31, 239-264.

has been cited by the following article:

• TITLE: Boundedness of Calderón-Zygmund Operator and Their Commutator on Herz Spaces with Variable Exponent

  AUTHORS: Omer Abdalrhman, Afif Abdalmonem, Shuangping Tao

  KEYWORDS: Calderón-Zygmund Operator, Commutator, Herz Spaces with Variable Exponent, BMO Spaces

  JOURNAL NAME: Applied Mathematics, Vol.8 No.4, April 20, 2017

  ABSTRACT: The aim of this paper is to study the boundedness of Calderón-Zygmund operator and their commutator on Herz Spaces with two variable exponents p(.),q(.). By applying the properties of the Lebesgue spaces with variable exponent, the boundedness of the Calderón-Zygmund operator and the commutator generated by BMO function and Calderón-Zygmund operator is obtained on Herz space.