Abstract
For a weight function in the unit disk which is the modulus of a finite product of powers of Blaschke factors, we give a canonical representation for the reproducing kernel of the corresponding weighted Bergman space in terms of the values of the kernel and its derivatives at the origin. This yields a formula for the contractive zero divisor of a Bergman space corresponding to a finite zero set.
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Miña-Díaz, E. A representation for the reproducing kernel of a weighted Bergman space. Anal.Math.Phys. 13, 58 (2023). https://doi.org/10.1007/s13324-023-00817-7
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DOI: https://doi.org/10.1007/s13324-023-00817-7