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Application of a Riesz-type formula to weighted Bergman spaces

Authors:	Ali Abkar

Institution:	Department of Mathematics, Imam Khomeini International University, P.O. Box 288, Qazvin 34194, Iran

Abstract:	Let $\mathbb{D}$ denote the unit disk in the complex plane. We consider a class of superbiharmonic weight functions $w\colon \mathbb{D} \to \mathbb{R}^+$ whose growth are subject to the condition $0\le w(z)\le C(1-\vert z\vert)$ for some constant . We first establish a Reisz-type representation formula for , and then use this formula to prove that the polynomials are dense in the weighted Bergman space with weight .

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