Lp continuity of wave operators in Z

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:354

Article

Cuccagna, Scipio

关键词: Discrete Laplacian;    Schrodinger operator;    Wave operator;   

DOI  :  10.1016/j.jmaa.2009.01.028

来源: Elsevier

【 摘 要 】

We recover for discrete Schrodinger operators on the lattice Z, stronger analogues of the results by Weder [R. Weder, The W-k,W-p continuity of the Schrodinger wave operators on the line. Comm. Math. Phys. 208 (1999) 507-520] and by D'Ancona and Fanelli [P D'Ancona, L. Fanelli, L-p boundedness of the wave operator for the one-dimensional Schrodinger operator, Comm. Math. Phys. 268 (2006) 415-438] on R. (C) 2009 Elsevier Inc. All rights reserved.

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