What function or set of functions denotes as $B(f, a)$, where $f\in L^p(\mathbb{R})$ and $a\in\mathbb{R}$? I have a feeling that this is some kind of basic notation...
2026-05-05 12:43:46.1777985026
What is $B(f, a)$ with $f\in L^p(\mathbb{R})$ and $a\in\mathbb{R}$?
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It is probably the ball centered at $f$ with radius $a$: $$ B(f,a)= \left\{ g \in L^p(\mathbb{R}) \mid \|f-g\|<a \right\}. $$