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  Volume 4, Issue 4, Article 75
 
A Hölder Inequality for Holomorphic Functions

    Authors: Peng Gao, Aurel Stan,  
    Keywords: Complex hypercontractivity, Holomorphic, Hölder inequality.  
    Date Received: 13/05/03  
    Date Published: 10/07/03  
    Subject Codes:

60H40.

 
    Editors: Kenneth B. Stolarsky, Matti Vuorinen,  
 
    Abstract:

We prove a Hölder inequality for the $ L^{p}$-spaces of analytic
functions with respect to a complex Gaussian measure.

         
       
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