ON COMPLEX HYPERCONTRACTIVITY

Authors
JANSON S
Citation
S. Janson, ON COMPLEX HYPERCONTRACTIVITY, Journal of functional analysis, 151(1), 1997, pp. 270-280
Citations number
16
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
151
Issue
1
Year of publication
1997
Pages
270 - 280
Database
ISI
SICI code
0022-1236(1997)151:1<270:>2.0.ZU;2-I
Abstract
We give a new proof of a hypercontractivity theorem for the Mehler tra nsform with a complex parameter, earlier proved by Weissler (1979, J. Funet. Anal. 32, 102-121) and Epperson ( 1989, J. Funct. Anal. 87, 1-3 0). The proof uses stochastic integrals and It (o) over cap calculus. The method also yields new proofs of some related results. (C) 1997 Ac ademic Press.