A Short Proof of Stein’s Universal Multiplier Theorem

Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2123)

Abstract

We give a short proof of Stein’s universal multiplier theorem, purely by probabilistic methods, thus avoiding any use of harmonic analysis techniques (complex interpolation or transference methods).

Keywords

Markovian Semigroup Multiplier Theorem Complex Interpolation Bound Borel Function Spectral Multiplier 
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Notes

Acknowledgements

The author is member of the GNAMPA group of the Istituto Nazionale di Alta Matematica (INdAM). He also thanks G.M. Dall’Ara for many discussions on the subject.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Scuola Normale SuperiorePisaItaly

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