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| Paper IPM / M / 743 |
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| Abstract: | |
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Let \mathbbD denote the unit disk in the complex plane. We
consider a class of superbiharmonic weight functions w:\mathbbD→ \mathbbR whose growth are subject to the
condition 0 ≤ w(z) ≤ C(1−|z|) for some constant C. We
first establish a Riesz-type representation formula for w, and
then use this formula to prove that the polynomials are dense in
the weighted Bergman space with weight w.
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