Via the boundedness of the bilinear θ-type Calderón-Zygmund operators in the variable index Lebesgue space and the control relations in the function spaces,and assuming that the functions u meet certain conditions,the authors prove that the bilinearθ-type Calderón-Zygmund operators are bounded from product generalized weighted variable exponent Morrey spaces to generalized weighted variable exponent Morrey spaces.Furthermore,the authors also prove that the commutators generated by the bilinear θ-type Calderón-Zygmund operators and b,,b2 ∈ BMO(Rn)are bounded on generalized weighted variable exponent Morrey spaces.
Morrey type spaceweightedvariable exponentCalderón-Zygmund operatorcommutatorBMO space