Abstract

 
 
 In this paper, we show that every continuous linear operator from H(OmegawXOmegaz) to H (OmegawxOmegaxi) has an integral representation with a kernel function M(z, w, xi). We give two sufficient conditions on M(z,w,() to ensure that its corresponding operator preserves Polya property. We also prove that a continuous linear operator from H(fl,,, x ) to H(! x S2() either preserves the Polya property for all functions with that property or does not preserve the Polya property for any function. 
 
 
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