Boundedness of some operators on grand Herz spaces with variable exponent

Abstract

Our aim in this paper is to prove boundedness of an intrinsic square function and higher order commutators of fractional integrals on grand Herz spaces with variable exponent $ {\dot{K} ^{a(\cdot), u), \theta}_{ s(\cdot)}(\mathbb{R}^n)} $ by applying some properties of variable exponent.

Keywords

• intrinsic square function
• fractional integrals
• bmo spaces
• grand lebesgue spaces
• grand herz spaces