 99144 Ricardo Weder
 The $W_{k,p}$Continuity of the Schroedinger Wave Operators on the Line
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May 6, 99

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Abstract. We prove that the wave operators for the Schroedinger equation on the line are continuous on the Sobolev spaces $W_{k,p}, 1 < p < \infty$. Moreover, if the potential is exceptional and
$a:= lim_{x \rightarrow  \infty} f_1(x,0)=1$,where $f_1(x,0)$ is a Jost solution at zero energy, the wave operators are continuous on
$W_{k,1}$ and in $W_{k,\infty}$.
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