Best kernel approximation in Bergman spaces

Wei Qu, Tao Qian, Haichou Li and Kehe Zhu

Applied Mathematics and Computation, 2022, vol. 416, issue C

Abstract: Let H be a reproducing kernel Hilbert space of analytic functions on the unit disk D. The best kernel approximation problem for H is the following: given any positive integer n and any function f∈H find the best norm approximation of f by a linear combination of no more than n kernel functions K(z,zk), 1≤k≤n. The purpose of this paper is to prove the existence of best kernel approximation for weighted Bergman spaces with standard weights.

Keywords: Bergman space; Reproducing kernel hilbert space; Blaschke product; Best kernel approximation (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:416:y:2022:i:c:s0096300321008316

DOI: 10.1016/j.amc.2021.126749

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