Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces

Author:

Nafis Hammad1,Rafeiro Humberto2ORCID,Zaighum Muhammad Asad1

Affiliation:

1. Department of Mathematics and Statistics, Riphah International University, I-14 Islamabad, Pakistan

2. United Arab Emirates University, College of Sciences, Department of Mathematical Sciences, P.O. Box 15551, Al Ain, Abu Dhabi, UAE

Abstract

In this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces and variable Herz spaces.

Publisher

Hindawi Limited

Subject

Analysis

Reference37 articles.

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4. Multilinear Calderón–Zygmund Theory

5. Integral operators in non-standard function spaces;V. Kokilashvili,2016

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