Grand weighted variable Herz-Morrey spaces estimate for some operators

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Abstract

In this paper, we established the boundedness of higher-order commutators I^m β, b generated by the fractional integral operator with BMO functions on grand weighted variable-exponent Herz- Morrey spaces M ˙K α, r),θ_λ,p(·)(ω). We also obtained the boundedness of the m−order multilinear fractional Hardy operator H_β,m and its adjoint operator H^∗ β, m on weighted variable-exponent Herz-Morrey spaces M ˙K α,λ q, p(·)(ω).

Keywords

grand weighted / Herz-Morrey spaces / fractional integrals operator / fractional Hardy operator / variable exponent

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