摘要:
令Hn为海森堡群,Q=2n+2为其齐次维数。本文考虑了薛定谔算子-ΔHn+V,其中ΔHn为次拉普拉斯算子,对于q1>Q/2,非负位势V属于逆赫尔德类Bq1。我们将证明算子T=Va(-Δ+V)-a在HL1(Hn)到L1(Hn)上是有界的。
Abstract:
Let Hn be the Heisenberg group and Q=2n+2 be its homogenous dimension. In this paper, we consider the Schrödinger operator -ΔHn+V, where ΔHn is the sub-Laplacian and the non- negative potential V belongs to the reverse Hölder class Bq1 for q1>Q/2. We show that the operator T=Va(-Δ+V)-a is bounded from HL1(Hn) to L1(Hn).