Kernel approximation for weighted Bergman spaces on tube domains

Huang, Yun; Qian, Tao; Zhang, Dawei

doi:10.1090/proc/16757

Kernel approximation for weighted Bergman spaces on tube domains
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by Yun Huang, Tao Qian and Dawei Zhang;

Proc. Amer. Math. Soc. 152 (2024), 2877-2892

DOI: https://doi.org/10.1090/proc/16757

Published electronically: May 7, 2024

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Abstract:

Based on recent advancements of reproducing kernels in several complex variables, the theory of rational approximation for weighted Bergman spaces on tube domains over cones is developed. By verifying the boundary vanishing property, the existence of optimal parameters and the corresponding orthogonal functions are obtained.

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