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arXiv · 2304.00448

Approximation in weighted holomorphic Besov spaces in C^n

Ali Abkar
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Abstract

We study certain weighted Bergman and weighted Besov spaces of holomorphic functions in the polydisk and in the unit ball. We seek Mergelyan-type conditions on the non-radial weight function to guarantee that the dilations of a given function tend to the same function in norm; in particular, we seek conditions on the non-radial weights to ensure that the analytic polynomials are dense in the space.

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Ali Abkar. 2023-04-02. Approximation in weighted holomorphic Besov spaces in C^n. https://arxiv.org/abs/2304.00448

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