A multiplier theorem for Schrödinger operators. (English) Zbl 0779.35025

Hebisch, Waldemar

Colloq. Math. 60/61, No. 2, 659-664 (1990).

The aim of the article is to give some sufficient conditions on a bounded Borel measurable function \(F\) which imply boundedness of \(F(A)\) on \(L_ p(\mathbb{R}^ n)\), \(p\neq 2\), for some class of Schrödinger operators. These conditions are formulated for functions \(F_ t(x)=F(tx)\).

Reviewer: S.L.Edelstein (Rostov-na-Donu)

MSC:

35J10	Schrödinger operator, Schrödinger equation
47A57	Linear operator methods in interpolation, moment and extension problems

Keywords:

\(L^ p\)-boundedness; bounded Borel measurable function; Schrödinger operators