Multilinear singular integrals.

Christoph M. Thiele

Publicacions Matemàtiques (2002)

  • Volume: 46, Issue: Extra, page 229-274
  • ISSN: 0214-1493

Abstract

top
We survey the theory of multilinear singular integral operators with modulation symmetry. The basic example for this theory is the bilinear Hilbert transform and its multilinear variants. We outline a proof of boundedness of Carleson's operator which shows the close connection of this operator to multilinear singular integrals. We discuss particular multilinear singular integrals which historically arose in the study of eigenfunctions of Schrödinger operators.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].

How to cite

top

Thiele, Christoph M.. "Multilinear singular integrals.." Publicacions Matemàtiques 46.Extra (2002): 229-274. <http://eudml.org/doc/41615>.

@article{Thiele2002,
abstract = {We survey the theory of multilinear singular integral operators with modulation symmetry. The basic example for this theory is the bilinear Hilbert transform and its multilinear variants. We outline a proof of boundedness of Carleson's operator which shows the close connection of this operator to multilinear singular integrals. We discuss particular multilinear singular integrals which historically arose in the study of eigenfunctions of Schrödinger operators.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].},
author = {Thiele, Christoph M.},
journal = {Publicacions Matemàtiques},
keywords = {Carleson operator; bilinear Hilbert transform; phase space; Littlewood-Paley decomposition; multilinear operators; Schrödinger operator},
language = {eng},
number = {Extra},
pages = {229-274},
title = {Multilinear singular integrals.},
url = {http://eudml.org/doc/41615},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Thiele, Christoph M.
TI - Multilinear singular integrals.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - Extra
SP - 229
EP - 274
AB - We survey the theory of multilinear singular integral operators with modulation symmetry. The basic example for this theory is the bilinear Hilbert transform and its multilinear variants. We outline a proof of boundedness of Carleson's operator which shows the close connection of this operator to multilinear singular integrals. We discuss particular multilinear singular integrals which historically arose in the study of eigenfunctions of Schrödinger operators.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].
LA - eng
KW - Carleson operator; bilinear Hilbert transform; phase space; Littlewood-Paley decomposition; multilinear operators; Schrödinger operator
UR - http://eudml.org/doc/41615
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.