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Full Characterization of embedding relations between alpha modulation spaces by Guo, Weichao; Fan, Dashan; Wu, Huoxiong; Zhao, Guoping is a scholarly article available to read on EtoBox.

What is Full Characterization of embedding relations between alpha modulation spaces about?

In this paper, we consider the embedding relations between any two $\alpha$% -modulation spaces. Based on an observation that the $\alpha$-modulation space with smaller $\alpha$ can be regarded as a corresponding $\alpha$% -modulation space with larger $\alpha$, we give a complete characterization of the Fourier multipliers between $\alpha$-modulation spaces with different $\alpha$. Then we establish a full version of optimal embedding relations between $\alpha$-modulation spaces. As an application, we determine that the bounded operators commuting with translations between $\alpha$-modulation spaces are of convolution type.

Author

Guo, Weichao; Fan, Dashan; Wu, Huoxiong; Zhao, Guoping

Published

2016

Language

EN