Eduard A. Nigsch, Norbert Ortner
A short proof of M. W. Wong's inequality $\lVert J_{-s}\varphi\rVert_p \le \varepsilon \lVert J_{-t}\varphi\rVert_p + C \lVert\varphi\rVert_p$ is given.
This paper contains 4 sections, 4 theorems, 19 equations.
Proposition 1
Let $E$ be a Fréchet space, $\{\mathscr{U}_k : k \in \mathbb{N} \}$ a decreasing basis of absolutely convex closed neighborhoods of $0$, $E_k' \mathrel{\mathop:}= (E')_{\mathscr{U}_k^\circ} = \langle \mathscr{U}_k^\circ \rangle$ the local Banach spaces and $q_k$ the Minkowski functional of $\mathscr The inductive limit $\varinjlim_k E_k'$ is compactly regular, ultrabornological and complete.
