Boundedness for Higher Order Commutators of Fractional Integrals on Variable Exponent Herz-Morrey Spaces

摘要

In this paper, the boundedness for higher order commutators of fractional integrals is obtained on variable exponent Herz-Morrey spaces M (K) over dot(p,q(.))(alpha(.),lambda) (R-n) applying some properties of variable exponent and BMO function, where alpha(x) is an element of L-infinity(R-n) are log-Holder continuous both at the origin and at infinity, and q(x) satisfies the logarithmic continuity condition.