The bilinear Hilbert trasform is pointwise finite.

Michael T. Lacey

Revista Matemática Iberoamericana (1997)

  • Volume: 13, Issue: 2, page 411-469
  • ISSN: 0213-2230

Abstract

top
Let f ∈ L∞ and g ∈ L2 be supported on [0,1]. Then the principal value integral below exists in L1.p.v.   ∫ f(x + y) g(x - y) dy / y.

How to cite

top

Lacey, Michael T.. "The bilinear Hilbert trasform is pointwise finite.." Revista Matemática Iberoamericana 13.2 (1997): 411-469. <http://eudml.org/doc/39536>.

@article{Lacey1997,
abstract = {Let f ∈ L∞ and g ∈ L2 be supported on [0,1]. Then the principal value integral below exists in L1.p.v.   ∫ f(x + y) g(x - y) dy / y.},
author = {Lacey, Michael T.},
journal = {Revista Matemática Iberoamericana},
keywords = {Transformada de Hilbert; Integración bilineal; Series de Fourier; Calderón conjecture; Carleson measure; bilinear Hilbert transform},
language = {eng},
number = {2},
pages = {411-469},
title = {The bilinear Hilbert trasform is pointwise finite.},
url = {http://eudml.org/doc/39536},
volume = {13},
year = {1997},
}

TY - JOUR
AU - Lacey, Michael T.
TI - The bilinear Hilbert trasform is pointwise finite.
JO - Revista Matemática Iberoamericana
PY - 1997
VL - 13
IS - 2
SP - 411
EP - 469
AB - Let f ∈ L∞ and g ∈ L2 be supported on [0,1]. Then the principal value integral below exists in L1.p.v.   ∫ f(x + y) g(x - y) dy / y.
LA - eng
KW - Transformada de Hilbert; Integración bilineal; Series de Fourier; Calderón conjecture; Carleson measure; bilinear Hilbert transform
UR - http://eudml.org/doc/39536
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.