Schrdinger算子在新BMO空间上的有界性

Boundedness for Schrdinger Operators on Some New BMO Spaces

借助于对核Qt(x,y):=t2Ks(x,y)s|s=t2,x,y∈n,t>0的估计得到了Qtf在一类新BMO空间上的有界性,其中Ks是Schrdinger算子Ts=e-sL的核L=-Δ+V,位势V(x)满足反向Hlder不等式,Δ是拉普拉斯算子.

Boundedness is obtained on some new BMO spaces for Schrfdinger operators which is defined by Qt（x,y）：=t2Ks（x,y）s｜s=t2,x,y∈n,t〉0 where Ks is kernel of the SchrSdinger operators Ts=e-sL,L=-Δ＋V,the potential V（x） satisfies the reverse H^lder inequality, and A is the Laplace operator.