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/