Multipliers and Wiener-Hopf operators on weighted Lp spaces

Abstract

We study the operators T on the weighted space Lp 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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