Unimodular multipliers on $$\alpha$$-modulation spaces: a revisit with new method

Abstract

By a new method derived from Nicola-Primo-Tabacco in [J Pseudo-Differ Oper Appl 10:359-378 ( 2019)], we study the boundedness on -modulation spaces of unimodular multipliers with symbol e i ( ) . Comparing with the previous results, the boundedness result is established for a larger family of unimodular multipliers under weaker assumptions.