Endpoint estimates for fractional integral associated to schrödinger operators on the heisenberg groups

Let ℒ = −Δℍn + V be the Schrödinger operator on the Heisenberg groups ℍm where V is a nonnegative function satisfying the reverse Hölder inequality. In this article, the author obtains the BMOℓ and BLOℓ estimates of the fractional integrals associated to ℓ.