Embeddings of $α$-modulation spaces

Joachim Toft, Patrik Wahlberg

Published 2011-10-12, updated 2012-12-10Version 3

We show upper and lower embeddings of $\alpha_1$-modulation spaces in $\alpha_2$-modulation spaces for $0 \leq \alpha_1 \leq \alpha_2 \leq 1$, and prove partial results on the sharpness of the embeddings.