Boundedness of higher order Riesz transforms associated with Schrodinger type operator on generalized Morrey spaces

Let L2 = (-∆)^2 + V^2 be a Schrodinger type operator, where V≠ 0 is a non-negative potential and belongs to the reverse H¨older class RHq for q ≥ n/2, n≥ 5. The higher Riesz transform associated with L2 is denoted by R = ∆^2C^-1/2 2 and its dual is denoted by R* = C2^-1\2. In this paper, we investigate the boundedness of higher Riesz transforms and their commutators on the generalized Morrey spaces related to some non-negative potential.