Integration operators on Hardy and Bergman spaces

2022/06/29 by Fallah, O. El, Mkadmi, F., Omari, Y.
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2206.14454

Abstract

In the present work, we are interested in compact integration operators I_g f(z) = ∫₀^z f(ζ)g'(ζ)dζ acting on the Hardy space H² and on the weighted Bergman spaces A²_α. We give upper and lower estimates for the singular values of I_g.

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