A uniform estimate for quartile operators.

Christoph Thiele

Revista Matemática Iberoamericana (2002)

  • Volume: 18, Issue: 1, page 115-134
  • ISSN: 0213-2230

Abstract

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There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove Lp estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model...

How to cite

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Thiele, Christoph. "A uniform estimate for quartile operators.." Revista Matemática Iberoamericana 18.1 (2002): 115-134. <http://eudml.org/doc/39650>.

@article{Thiele2002,
abstract = {There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove Lp estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model...},
author = {Thiele, Christoph},
journal = {Revista Matemática Iberoamericana},
keywords = {Transformada de Hilbert; Integrales singulares; Análisis de Fourier; Estimadores; Walsh wave packets; quartile operators; bilinear Hilbert transform},
language = {eng},
number = {1},
pages = {115-134},
title = {A uniform estimate for quartile operators.},
url = {http://eudml.org/doc/39650},
volume = {18},
year = {2002},
}

TY - JOUR
AU - Thiele, Christoph
TI - A uniform estimate for quartile operators.
JO - Revista Matemática Iberoamericana
PY - 2002
VL - 18
IS - 1
SP - 115
EP - 134
AB - There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove Lp estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model...
LA - eng
KW - Transformada de Hilbert; Integrales singulares; Análisis de Fourier; Estimadores; Walsh wave packets; quartile operators; bilinear Hilbert transform
UR - http://eudml.org/doc/39650
ER -

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