As a non-native English speaker, I am struggling with the following sentence:
"Fix a function $f:\mathbb{R}\to\mathbb{C}$ such that $f$ is supported in the unit Ball."
Does this mean $\operatorname{supp} f \subseteq B_1(0)$, $B_1(0) \subseteq \operatorname{supp} f $ or even $\operatorname{supp} f = B_1(0)$?
Thanks in advance!
It means that $\operatorname{supp} f \subseteq B_1(0)$ as you suspected.