与薛定谔算子相关的Riesz变换

The Riesz Transform Associated with Schrdinger Operator

研究了与薛定谔算子相关的Riesz变换和齐次Lipschitz函数组成的交换子的有界性问题.得到了交换子[b,T]的L^p(R^n)→F_p^(β,∞)(R^n)有界性和L^p(R^n)→L^q(R^n)有界性.

The boundedness of commutators [b,T] generated by Riesz transform associated with Schrdinger operator. The L^p ( R^n ) → F_p^(β ,∞)( R^n) and L^p ( R^n ) → L^q ( R^n) boundedness of [b, T] are obtained for b∈ Λ_β.