Some Estimates of Riesz Transforms Related to Schrödinger-Type Operators.

Let L 2 = (- Δ) 2 + V 2 be the Schrödinger-type operator on R n (n ≥ 5) , where the nonnegative potential V belongs to the reverse Hölder class R H s , n / 2 < s < n. The estimates of L p (R n) and weak type (1, 1) for the Riesz transform ∇ L 2 - 1 4 related to Schrödinger-type operators are established. [ABSTRACT FROM AUTHOR]