A HÖLDER INEQUALITY FOR HOLOMORPHIC FUNCTIONS

AUREL STAN

DEPARTMENT OF MATHEMATICS
UNIVERSITY OF ROCHESTER
ROCHESTER, NY 14627, USA.
E-Mail: astan@math.rochester.edu

Received 13 May, 2003; Accepted 10 July, 2003.
Communicated by: M. Vuorinen

ABSTRACT.    We prove a Hölder inequality for the -spaces of analytic functions with respect to a complex Gaussian measure. Key words: Complex hypercontractivity, Holomorphic, Hölder inequality. 2000 Mathematics Subject Classification: 60H40.

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