# Multilinear singular integrals.

Publicacions Matemàtiques (2002)

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

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topThiele, 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 -

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