Violeta Petkova
Published 2011-12-21, updated 2012-01-19Version 2
We study the operators T on the weighted space L^p commuting either with the right translations St or left translations P^+S_{-t} and we establish the existence of a symbol of T. We characterize completely the spectrum of St. We obtain a similar result for the spectrum of P^+S_{-t} and some spectral results for the bounded operators commuting with (St), t>0 or with (P^+St), t<0.
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Multipliers on $\mathcal{S}_ω(\mathbb{R}^N)$
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