Boundedness for a bilinear model sum operator on ℝⁿ

Erin Terwilleger

Studia Mathematica (2007)

  • Volume: 179, Issue: 2, page 185-197
  • ISSN: 0039-3223

Abstract

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The purpose of this article is to obtain a multidimensional extension of Lacey and Thiele's result on the boundedness of a model sum which plays a crucial role in the boundedness of the bilinear Hilbert transform in one dimension. This proof is a simplification of the original proof of Lacey and Thiele modeled after the presentation of Bilyk and Grafakos.

How to cite

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Erin Terwilleger. "Boundedness for a bilinear model sum operator on ℝⁿ." Studia Mathematica 179.2 (2007): 185-197. <http://eudml.org/doc/284860>.

@article{ErinTerwilleger2007,
abstract = {The purpose of this article is to obtain a multidimensional extension of Lacey and Thiele's result on the boundedness of a model sum which plays a crucial role in the boundedness of the bilinear Hilbert transform in one dimension. This proof is a simplification of the original proof of Lacey and Thiele modeled after the presentation of Bilyk and Grafakos.},
author = {Erin Terwilleger},
journal = {Studia Mathematica},
keywords = {multilinear operators in higher dimensions; bilinear Hilbert transform},
language = {eng},
number = {2},
pages = {185-197},
title = {Boundedness for a bilinear model sum operator on ℝⁿ},
url = {http://eudml.org/doc/284860},
volume = {179},
year = {2007},
}

TY - JOUR
AU - Erin Terwilleger
TI - Boundedness for a bilinear model sum operator on ℝⁿ
JO - Studia Mathematica
PY - 2007
VL - 179
IS - 2
SP - 185
EP - 197
AB - The purpose of this article is to obtain a multidimensional extension of Lacey and Thiele's result on the boundedness of a model sum which plays a crucial role in the boundedness of the bilinear Hilbert transform in one dimension. This proof is a simplification of the original proof of Lacey and Thiele modeled after the presentation of Bilyk and Grafakos.
LA - eng
KW - multilinear operators in higher dimensions; bilinear Hilbert transform
UR - http://eudml.org/doc/284860
ER -

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