The dilation property of modulation spaces and their inclusion relation with Besov spaces

Mitsuru Sugimoto, Naohito Tomita

We consider the dilation property of the modulation spaces $M^{p,q}$. Let $D_{\lambda }:f(t)\mapsto f(\lambda t)$ be the dilation operator, and we consider the behavior of the operator norm $\|D_λ…