Sets of p-restriction and p-spectral synthesis

Autor: Puls Michael J.
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Demonstratio Mathematica, Vol 52, Iss 1, Pp 397-403 (2019)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2019-0033
Popis: 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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