L_p-L_q Fourier multipliers on locally compact quantum groups

2022/01/20 by Haonan Zhang, Zhang, Haonan
Mathematics · #Advanced Operator Algebra Research #Advanced Mathematical Physics Problems #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.2201.08346

Abstract

Let \mathbbG be a locally compact quantum group with dual \widehat\mathbbG. Suppose that the left Haar weight φ and the dual left Haar weight \widehatφ are tracial, e.g. \mathbbG is a unimodular Kac algebra. We prove that for 1

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