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arXiv · 2206.14454

Integration operators on Hardy and Bergman spaces

O. El Fallah·F. Mkadmi·Y. Omari
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Abstract

In the present work, we are interested in compact integration operators $I_g f(z) = \int_0^z f(\zeta)g'(\zeta)d\zeta$ acting on the Hardy space $H^2$ and on the weighted Bergman spaces $\mathcal{A}^2_\alpha$. We give upper and lower estimates for the singular values of $I_g$.

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O. El Fallah, F. Mkadmi, Y. Omari. 2022-06-29. Integration operators on Hardy and Bergman spaces. https://arxiv.org/abs/2206.14454

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