Hilbert transform, Toeplitz operators and Hankel operators and invariant A∞ weights.

Treil, Sergei, Volberg, Alexander, and Zheng, Dechao. "Hilbert transform, Toeplitz operators and Hankel operators and invariant A∞ weights.." Revista Matemática Iberoamericana 13.2 (1997): 319-360. <http://eudml.org/doc/39541>.

@article{Treil1997,
abstract = {In this paper, several sufficient conditions for boundedness of the Hilbert transform between two weighted Lp-spaces are obtained. Invariant A∞ weights are obtained. Several characterizations of invariant A∞ weights are given. We also obtain some sufficient conditions for products of two Toeplitz operators of Hankel operators to be bounded on the Hardy space of the unit circle using Orlicz spaces and Lorentz spaces.},
author = {Treil, Sergei, Volberg, Alexander, Zheng, Dechao},
journal = {Revista Matemática Iberoamericana},
keywords = {Transformada de Hilbert; Transformación de Hankel; Espacios de Hardy; Formas de Toeplitz; Operadores integrales; weighted spaces; Hankel operator; Toeplitz operator; invariant -weights; Hilbert transform; Young functions; maximal function},
language = {eng},
number = {2},
pages = {319-360},
title = {Hilbert transform, Toeplitz operators and Hankel operators and invariant A∞ weights.},
url = {http://eudml.org/doc/39541},
volume = {13},
year = {1997},
}

TY - JOUR
AU - Treil, Sergei
AU - Volberg, Alexander
AU - Zheng, Dechao
TI - Hilbert transform, Toeplitz operators and Hankel operators and invariant A∞ weights.
JO - Revista Matemática Iberoamericana
PY - 1997
VL - 13
IS - 2
SP - 319
EP - 360
AB - In this paper, several sufficient conditions for boundedness of the Hilbert transform between two weighted Lp-spaces are obtained. Invariant A∞ weights are obtained. Several characterizations of invariant A∞ weights are given. We also obtain some sufficient conditions for products of two Toeplitz operators of Hankel operators to be bounded on the Hardy space of the unit circle using Orlicz spaces and Lorentz spaces.
LA - eng
KW - Transformada de Hilbert; Transformación de Hankel; Espacios de Hardy; Formas de Toeplitz; Operadores integrales; weighted spaces; Hankel operator; Toeplitz operator; invariant -weights; Hilbert transform; Young functions; maximal function
UR - http://eudml.org/doc/39541
ER -