Uniform bounds for the bilinear Hilbert transforms (II).

Xiaochun Li

Revista Matemática Iberoamericana (2006)

  • Volume: 22, Issue: 3, page 1069-1126
  • ISSN: 0213-2230

Abstract

top
We continue the investigation initiated in [Grafakos, L. and Li, X.: Uniform bounds for the bilinear Hilbert transforms (I). Ann. of Math. (2)159 (2004), 889-933] of uniform Lp bounds for the family of bilinear Hilbert transformsHα,β(f,g)(x) = p.v. ∫R f(x - αt) g (x - βt) dt/t.

How to cite

top

Li, Xiaochun. "Uniform bounds for the bilinear Hilbert transforms (II).." Revista Matemática Iberoamericana 22.3 (2006): 1069-1126. <http://eudml.org/doc/42002>.

@article{Li2006,
abstract = {We continue the investigation initiated in [Grafakos, L. and Li, X.: Uniform bounds for the bilinear Hilbert transforms (I). Ann. of Math. (2)159 (2004), 889-933] of uniform Lp bounds for the family of bilinear Hilbert transformsHα,β(f,g)(x) = p.v. ∫R f(x - αt) g (x - βt) dt/t.},
author = {Li, Xiaochun},
journal = {Revista Matemática Iberoamericana},
keywords = {Análisis de Fourier; Integrales singulares; Transformada de Hilbert; Espacios LP; Acotación},
language = {eng},
number = {3},
pages = {1069-1126},
title = {Uniform bounds for the bilinear Hilbert transforms (II).},
url = {http://eudml.org/doc/42002},
volume = {22},
year = {2006},
}

TY - JOUR
AU - Li, Xiaochun
TI - Uniform bounds for the bilinear Hilbert transforms (II).
JO - Revista Matemática Iberoamericana
PY - 2006
VL - 22
IS - 3
SP - 1069
EP - 1126
AB - We continue the investigation initiated in [Grafakos, L. and Li, X.: Uniform bounds for the bilinear Hilbert transforms (I). Ann. of Math. (2)159 (2004), 889-933] of uniform Lp bounds for the family of bilinear Hilbert transformsHα,β(f,g)(x) = p.v. ∫R f(x - αt) g (x - βt) dt/t.
LA - eng
KW - Análisis de Fourier; Integrales singulares; Transformada de Hilbert; Espacios LP; Acotación
UR - http://eudml.org/doc/42002
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.