# On Complex Hypercontractivity

@article{Janson1997OnCH, title={On Complex Hypercontractivity}, author={Svante Janson}, journal={Journal of Functional Analysis}, year={1997}, volume={151}, pages={270-280} }

Abstract We give a new proof of a hypercontractivity theorem for the Mehler transform with a complex parameter, earlier proved by Weissler (1979, J. Funct. Anal. 32 , 102–121) and Epperson (1989, J. Funct. Anal. 87 , 1–30). The proof uses stochastic integrals and Ito calculus. The method also yields new proofs of some related results.

## 30 Citations

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