Sets of p-restriction and p-spectral synthesis

In this paper we investigate the restriction problem. More precisely, we give sufficient conditions for the failure of a set E in Rn to have the p-restriction property. We also extend the concept of spectral synthesis to Lp(Rn) for sets of p-restriction when p > 1. We use our results to show that there are p-values for which the unit sphere is a set of p-spectral synthesis in Rn when n ≥ 3.

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Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).