On truncations of Hankel and Toeplitz operators.

@article{Bonami1999,
abstract = {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.},
author = {Bonami, Aline, Bruna, Joaquim},
journal = {Publicacions Matemàtiques},
keywords = {Operadores integrales; Transformada de Hilbert; Teoría de la medida; Transformación de Hankel; Hankel and Toeplitz operators; Lacey-Thiele theorem; bilinear Hilbert transform; Schatten classes; truncation operators},
language = {eng},
number = {1},
pages = {235-250},
title = {On truncations of Hankel and Toeplitz operators.},
url = {http://eudml.org/doc/41362},
volume = {43},
year = {1999},
}

TY - JOUR
AU - Bonami, Aline
AU - Bruna, Joaquim
TI - On truncations of Hankel and Toeplitz operators.
JO - Publicacions Matemàtiques
PY - 1999
VL - 43
IS - 1
SP - 235
EP - 250
AB - 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.
LA - eng
KW - Operadores integrales; Transformada de Hilbert; Teoría de la medida; Transformación de Hankel; Hankel and Toeplitz operators; Lacey-Thiele theorem; bilinear Hilbert transform; Schatten classes; truncation operators
UR - http://eudml.org/doc/41362
ER -