A short proof of the boundedness of the composition operators on the Hardy space H²

Authors

  • Maxime Bailleul Author
  • Vincent Devinck Author

Abstract

Following an idea of J. Shapiro, we give a simple proof of the fact that an element of the Gordon Hedenmalm class \(\Phi\) such that \(\Phi(\infty)=\infty\) defines a contractive composition operator \(C_\Phi\) on the space \(\mathcal{H}^2\) of Dirichlet series.

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Published

11-07-2023

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Section

Articles

How to Cite

Bailleul , M., & Devinck , V. (2023). A short proof of the boundedness of the composition operators on the Hardy space H². North-Western European Journal of Mathematics, 9, 101-108. https://nwejm.univ-lille.fr/index.php/nwejm/article/view/7