研究Schrodinger算子在BMO空间上的加权估计,借助于与Schrodinger算子有关的BMO空间和Lipschitz空间的等价性得到Schrodinger算子Ttf(x)=e^-tL f(x),t〉0在BMO空间上的加权有界性,其中L=-△+V,位势V(x)满足反向Holder不等式,△是拉普拉斯算子.
The weighted estimate of Schrodinger operator in BMO space was studied. With the help of the equivalence between Lipschitz space and BMO space related to Schrodinger operator, the weighted bound- edness of Schrodinger operator in BMO space was obtained, the operator being Ttf(x)=e^-t L f(x), t〉0 where L:=-△+V, the potential V(x) satisfies the reverse Holder inequality, and A was the Laplace operator.