Heisenberg群上与Schrdinger算子相关的分数次积分算子的L^p-L^q估计

The Estimates of L^p-L^q of Fractional Integral Operator Related to Schrdinger Type on the Heisenberg Group

证明了当位势函数V属于逆Hlder类Bq时,Heisenberg群上与Schrdinger算子相关的分数次积分算子(-ΔHn+V)-β的Lp-Lq有界性估计,这里q>Q/2且Q是Heisenberg群的齐次维数.

The boundedness of Lp-Lq for fractional integral operators related to Schrdinger operators on the Heisenberg group is shown when the potential V belongs to Bq,where q>2/Q and Q is the homogeneous dimension of Heisenberg group.