Full Characterization of Embedding Relations between Α-modulation Spaces
نویسندگان
چکیده
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.
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تاریخ انتشار 2016