Abstract
In this paper, we obtain the boundedness of the Marcinkiewicz integral on continual Herz spaces with variable exponent, where all parameters defining the space are variable.
Funding statement: The second-named author was partially supported by the research project “Study of boundedness of operators in generalized Morrey spaces”, ID-PRJ: 6576, of the Faculty of Sciences of Pontificia Universidad Javeriana, Bogotá, Colombia. The third-named author was supported by Pontificia Universidad Javeriana, Bogotá, Colombia, as a Post-Doctoral investigator working on the research project “Study of boundedness of some operators in generalized Morrey spaces”, ID-PRJ: 6576 (Contract Number: DPE-040-15).
Acknowledgements
The third-named author extends his thanks to the Vice-Chancellor Riphah International University, Islamabad, for providing the excellent research environment.
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