摘要
Abstract： Let L=-△＋V be a SchrSdinger operator on Rn, n 〉 3, where △ is the Laplacian on Rn and V ≠ 0 is a nonnegative function satisfying the reverse HSlder＇s inequality. Let [b, T] be the commutator generated by the Campanatotype function b ∈∧Lβ and the Riesz transform associated with SchrSdinger operator T =△↓（-△ ＋ V）-1/2. In the paper, we establish the boundedness of [b, T] on Lebesgue spaces and Campanato-type spaces.
Abstract： Let L=-△＋V be a SchrSdinger operator on Rn, n 〉 3, where △ is the Laplacian on Rn and V ≠ 0 is a nonnegative function satisfying the reverse HSlder＇s inequality. Let [b, T] be the commutator generated by the Campanatotype function b ∈∧Lβ and the Riesz transform associated with SchrSdinger operator T =△↓（-△ ＋ V）-1/2. In the paper, we establish the boundedness of [b, T] on Lebesgue spaces and Campanato-type spaces.
基金
The NSF(11161042,11471050)of China
