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Integration operators on Hardy and Bergman spaces

Published 29 Jun 2022 in math.CV and math.FA | (2206.14454v1)

Abstract: In the present work, we are interested in compact integration operators $I_g f(z) = \int_0z f(\zeta)g'(\zeta)d\zeta$ acting on the Hardy space $H2$ 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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Authors (3)

  1. O. El Fallah 
  2. F. Mkadmi 
  3. Y. Omari 

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