Kato, Tosio; Yajima, Kenji Some expamples of smooth operators and the associated smoothing effect. (English) Zbl 0833.47005 Rev. Math. Phys. 1, No. 4, 481-496 (1989). The main purpose of this paper is to give some examples of \((-\Delta)\)- supersmooth operators and to show a new result on scattering theory for vaguely decaying potentials \(V\in L^p (\mathbb{R}^m)\), \(m/2\leq p< (m+ 1)/2\). Cited in 1 ReviewCited in 105 Documents MSC: 47A40 Scattering theory of linear operators 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 47A10 Spectrum, resolvent Keywords:Laplacian; Sobolev space of order 2; multiplication operators; Fourier transform; \((-\Delta)\)-supersmooth operators; scattering theory for vaguely decaying potentials × Cite Format Result Cite Review PDF Full Text: DOI