Multipliers and Wiener-Hopf operators on weighted L^p spaces

Details Multipliers and Wiener-Hopf operators on weighted L^p spaces Multipliers and Wiener-Hopf operators on weighted L^p spaces

2011-12-21

arxiv.org/abs/1112.4985v2

Mathematics

Functional Analysis

Scientific paper

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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