Integration operators on Hardy and Bergman spaces

O. El Fallah; F. Mkadmi; Y. Omari

Integration operators on Hardy and Bergman spaces

Complex Variables 2022-06-30 v1 Functional Analysis

Authors: O. El Fallah , F. Mkadmi , Y. Omari

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 $I_g$ .

Keywords

hardy spaces bergman spaces

Cite

@article{arxiv.2206.14454,
  title  = {Integration operators on Hardy and Bergman spaces},
  author = {O. El Fallah and F. Mkadmi and Y. Omari},
  journal= {arXiv preprint arXiv:2206.14454},
  year   = {2022}
}

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