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Some expamples of smooth operators and the associated smoothing effect. (English) Zbl 0833.47005

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 \(V\in L^p (\mathbb{R}^m)\), \(m/2\leq p< (m+ 1)/2\).

MSC:

47A40 Scattering theory of linear operators
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
47A10 Spectrum, resolvent
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