2016/06/04 by Weichao Guo, Dashan Fan, Guo, Weichao +5
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods
paper · pdf · doi:10.48550/arxiv.1606.01386
openalex publication_date 2016/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we consider the embedding relations between any two α% -modulation spaces. Based on an observation that the α-modulation space with smaller α can be regarded as a corresponding α% -modulation space with larger α, we give a complete characterization of the Fourier multipliers between α-modulation spaces with different α. Then we establish a full version of optimal embedding relations between α-modulation spaces. As an application, we determine that the bounded operators commuting with translations between α-modulation spaces are of convolution type.