Perspicacious $l_p$ norm parameters

Christopher O'Neill, Vadim Ponomarenko, Eric Ren

Fix $t\in [1,\infty ]$. Let $S$ be an atomic commutative semigroup and, for all $x\in S$, let ${\mathcal{L}}_t(S):=\{\Vert f{\Vert }_t:f\in Z(x)\}$ be the "$t$-length set" of $x$ (using the sta…