Hyers-Ulam stability of the coefficient multipliers on analytic Hilbert spaces (Q6566708)

The authors investigate the Hyers-Ulam stability of the coefficient multipliers on the Hardy space \(H^2\) and the Bergman space \(A^2\). Meanwhile, they investigate the Hyers-Ulam stability of the coefficient multipliers between the Bergman space \(A^2\) and the Hardy space \(H^2\). Furthermore, they discuss the best constant of Hyers-Ulam stability. Some results generalize those by \textit{T. H. MacGregor} and \textit{K. Zhu} [Mathematika 42, No. 2, 413--426 (1995; Zbl 0844.30025)] when \(p = 2\).