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L^p-boundedness of wave operators for three dimensional Schrödinger operators with point interactions

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Seminari di Fisica Matematica
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Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker

Kenji Yajima (Gakushuin University, Tokio, Japan)

Abstract: We show that wave operators for three dimensional Schroedinger operators with point interactions are bounded in LpLp for 1<p<31<p<3 but not for p=1p=1 or p≥3p≥3. This is a joint work with G. Dell’Antonio, A. Michelangeli and R. Scandone.