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

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.