具有非负位势的薛定谔型算子的估计

摘要

Let L = -△ + V be the Schrodinger operator on Rd with the potential V being a nonnegative polynomial. BMOL(Rd) is a dual space of the Hardy-type space H1L(Rd) related to Schrodinger operator L =-△+V. In this article it is proved that the Schrodinger type operator (-△ + V)-βV is bounded from Lp(Rd) into BMOL(Rd) for p = d/2β-1 when the potential V is a nonnegative polynomial.%令L=-△+V是欧氏空间Rd上具有非负多项式位势的薛定谔算子.BMOL(Rd)是与薛定谔算子相关的哈代型空间H1L(Rd)的对偶空间.该文证明当位势V是非负多项式时,薛定谔型算子(-△+V)-β▽是从Lp(Rd)到BMOL(Rd)的有界线性算子,其中p=d/2β-1.