Abstract
In this paper we consider uniformly elliptic operators with non-negative potentials V on ℝn (n ≥ 3) which belong to certain reverse Holder class. We show several estimates for VL–1, V1/2∇L–1 and ∇2L–1 on weighted Lp spaces and Morrey spaces under certain assumptions on aij(x), V and p. Our results generalize some results of J. Zhong and Z. Shen in the case of L = –Δ + V(x) and extend to uniformly elliptic operators.
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