0x67ece8ef April 2, 2025 The Schwartz space \(\mathcal{S}(\mathbb{R}^n)\) is a subspace of \(L^p(\mathbb{R}^n)\) for every \(p\in [1,\infty ]\). Remarks For \(p\neq \infty\) \(\mathcal{S}\) is a dense subset.