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

2011/12/21 by Violeta Petkova, Petkova, Violeta
Mathematics · #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #math.FA

paper · pdf · doi:10.48550/arxiv.1112.4985

openalex publication_date 2011/12/21 · arxiv created 2012/01/19 · arxiv updated 2012/01/20 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

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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