Weighted Boundedness Of Commutators Of Fractional Hardy Operators

The theory of singular integral operator and commutator has been paid much attention in harmonic analysis.Using the properties of BMO functions? Lipschitz functions and the estimates of the classical inequalities,we proved the boundedness of the commutators generated by fractional Hardy operators and BMO functions on weighted Herz spaces;obtained the boundedness of the commutators generated by multilinear fractional Hardy operators and Lipschitz functions on weighted homogeneous Herz-Morrey spaces.Using the properties of variable exponent,the boundedness of the commutators generated by fractional Hardy operators and Lipschitz functions on weighted Herz-Morrey spaces with variable exponent was established.