Related papers: The L^p-continuity of the wave operators for the t…

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.

This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).

This paper has been withdrawn by the author due to a crucial error in the Proof of Theorem 0.3

The paper has been withdrawn due to an error in the main theorem.

This paper is withdrawn due to some gaps in the proof

This paper has been withdrawn due to a crucial error in the proof of the main theorem

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.

This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1

This paper has been withdrawn by the authors due to an error.

This paper was withdrawn (temporarily?) by the author since an error needs to be corrected.

This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.

This paper has been withdrawn due to an error in the proof of Theorem 5.3.

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

This paper has been withdrawn by the authors because M. Aschenbrenner pointed out that the proof of theorem 3.1 was incorrect.

We prove that, for arbitrary centres and strengths, the wave operators for three dimensional Schr\"odinger operators with multi-centre local point interactions are bounded in $L^p(\mathbb{R}^3)$ for $1<p<3$ and unbounded otherwise.

This paper has been withdrawn by the author due to a crucial error.

We recover for discrete Schr\"odinger operators on the lattice Z, stronger analogues of the results by Weder, Galtabiar and Yajima and by D'Ancona and Fanelli on R.

This paper has been withdrawn by the author due to some mistakes

This paper has been withdrawn due to a crucial theoretical error.