主要研究算子α-△+V是R^n+1(n≥3)上的抛物型薛定谔算子,其中非零非负势V对q≥n/2属于反霍尔德类Bq.得到一类抛物型算子(α,-△+V)^1/2V^1/2;在空间L^P(R^n+1)的估计.
In this paper, the parabolic SchrSdinger operator on R^n with n≥3 be studied, where Bq the non-zero, non-negative potential V belongs to the reverse Holder class Bq for some q≥n/2. Estimate for parabolic operator (α-△+V)^1/2V^1/2 on L^P(R^n+1) is obtained.