Unimodular multipliers on α-modulation spaces: A revisit with new method under weaker conditions

2019/03/16 by Guoping Zhao, Weichao Guo, Zhao, Guoping +1
Engineering · Mathematics · #Advanced Harmonic Analysis Research #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations #math.CA #msc:42B15 #msc:42B35 #msc:42B37

paper · pdf · doi:10.48550/arxiv.1903.06929

arxiv created 2019/03/16 · arxiv updated 2019/03/19

Abstract

By a new method derived from Nicola--Primo--Tabacco[24], we study the boundedness on α-modulation spaces of unimodular multipliers with symbol e^iμ(ξ). Comparing with the previous results, the boundedness result is established for a larger family of unimodular multipliers under weaker assumptions.

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