Estimates for the singular numbers of the sandwiched Airy transformation
Vladimir Anatolevich Sloushch · 2016
Compactness conditions and estimates for the singular values of the sandwiched Airy transform fAg in ¿2(R) are investigated for suitable functions f (x), g(x), x G R. Sufficient conditions for inclusion of the operator f Ag in the Schatten — von Neumann classes Sp, p G (0,2), are obtained. In particular, conditions for inclusion of the operator fAg in the trace class are found.