Quick search | Browse volumes | |

XLVI: 20, 473-479, LNM 2123 (2014)

**TREVISIAN, Dario**

A short proof of Stein's universal multiplier theorem

This article gives an alternative proof of the Stein's universal multiplier theorem, which gives some $L^p\to L^p$ bounds on operators constructed from self-adjoint Markovian semigroups. This approach relies purely on martingales arguments and avoid the complex interpolation approach from harmonic analysis.

Keywords: semigroups, Littewood-Paley

Nature: New proof of known result

A short proof of Stein's universal multiplier theorem

This article gives an alternative proof of the Stein's universal multiplier theorem, which gives some $L^p\to L^p$ bounds on operators constructed from self-adjoint Markovian semigroups. This approach relies purely on martingales arguments and avoid the complex interpolation approach from harmonic analysis.

Keywords: semigroups, Littewood-Paley

Nature: New proof of known result