The Boundedness of Some Integral Operators on Weighted Hardy Spaces Associated with Schrödinger Operators

Abstract EN

Let L=-Δ+V be a Schrödinger operator acting on L2(Rn), n≥1, where V≢0 is a nonnegative locally integrable function on Rn.

In this paper, we will first define molecules for weighted Hardy spaces HLp(w) (0

Then, by using the atomic decomposition and molecular characterization of HLp(w), we will show that the imaginary power Liγ is bounded on HLp(w) for n/(n+1)