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