On the two weights problem for the Hilbert transform.

Katz, Nets Hawk, and Pereyra, Cristina. "On the two weights problem for the Hilbert transform.." Revista Matemática Iberoamericana 13.1 (1997): 211-243. <http://eudml.org/doc/39526>.

@article{Katz1997,
abstract = {In this paper, we prove sufficient conditions on pairs of weights (u,v) (scalar, matrix or operator valued) so that the Hilbert transform H f(x) = p.v. ∫ [f(y) / x - y] dy,is bounded from L2(u) to L2(v).},
author = {Katz, Nets Hawk, Pereyra, Cristina},
journal = {Revista Matemática Iberoamericana},
keywords = {Transformada de Hilbert; Teoría de pesos; Magnitudes escalares; Teoría de matrices; Medidas vectoriales; Muckenhoupt condition; two weights problem; Hilbert transform; bounded operator; integral operators; Jensen's inequality},
language = {eng},
number = {1},
pages = {211-243},
title = {On the two weights problem for the Hilbert transform.},
url = {http://eudml.org/doc/39526},
volume = {13},
year = {1997},
}

TY - JOUR
AU - Katz, Nets Hawk
AU - Pereyra, Cristina
TI - On the two weights problem for the Hilbert transform.
JO - Revista Matemática Iberoamericana
PY - 1997
VL - 13
IS - 1
SP - 211
EP - 243
AB - In this paper, we prove sufficient conditions on pairs of weights (u,v) (scalar, matrix or operator valued) so that the Hilbert transform H f(x) = p.v. ∫ [f(y) / x - y] dy,is bounded from L2(u) to L2(v).
LA - eng
KW - Transformada de Hilbert; Teoría de pesos; Magnitudes escalares; Teoría de matrices; Medidas vectoriales; Muckenhoupt condition; two weights problem; Hilbert transform; bounded operator; integral operators; Jensen's inequality
UR - http://eudml.org/doc/39526
ER -