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.
@article{urn:eudml:doc:41362,
title = {On truncations of Hankel and Toeplitz operators.},
journal = {Publicacions Matem\`atiques},
volume = {43},
year = {1999},
pages = {235-250},
mrnumber = {MR1697523},
zbl = {0945.47018},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41362}
}
Bonami, Aline; Bruna, Joaquim. On truncations of Hankel and Toeplitz operators.. Publicacions Matemàtiques, Tome 43 (1999) pp. 235-250. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41362/