On truncations of Hankel and Toeplitz operators

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Aline Bonami
Joaquim Bruna
We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation operators when restricted to Hankel matrices in the Schatten classes.

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Bonami, Aline; Bruna, Joaquim. «On truncations of Hankel and Toeplitz operators». Publicacions Matemàtiques, 1999, vol.VOL 43, núm. 1, p. 235-50, https://raco.cat/index.php/PublicacionsMatematiques/article/view/37961.