Embeddings of $\alpha$-modulation spaces

Abstract

We show upper and lower embeddings of ${\alpha }_1$-modulation spaces in ${\alpha }_2$-modulation spaces for $0\le {\alpha }_1\le {\alpha }_2\le 1$, and prove partial results on the sharpness of the embeddings.

arXiv comment19 pages, to appear in Pliska Stud. Math. Bulg