Wolff's inequality for hypersurfaces.

Izabella Laba; Malabika Pramanik

Collectanea Mathematica (2006)

  • Volume: 57, Issue: Extra, page 293-326
  • ISSN: 0010-0757

Abstract

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We extend Wolff's "local smoothing" inequality to a wider class of not necessarily conical hypersurfaces of codimension 1. This class includes surfaces with nonvanishing curvature, as well as certain surfaces with more than one flat direction. An immediate consequence is the Lp-boundedness of the corresponding Fourier multiplier operators.

How to cite

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Laba, Izabella, and Pramanik, Malabika. "Wolff's inequality for hypersurfaces.." Collectanea Mathematica 57.Extra (2006): 293-326. <http://eudml.org/doc/41779>.

@article{Laba2006,
abstract = {We extend Wolff's "local smoothing" inequality to a wider class of not necessarily conical hypersurfaces of codimension 1. This class includes surfaces with nonvanishing curvature, as well as certain surfaces with more than one flat direction. An immediate consequence is the Lp-boundedness of the corresponding Fourier multiplier operators.},
author = {Laba, Izabella, Pramanik, Malabika},
journal = {Collectanea Mathematica},
keywords = {Análisis de Fourier; Sumabilidad; Multiplicadores; Hipersuperficies; Wolff's inequality; local smoothing; cone multipliers},
language = {eng},
number = {Extra},
pages = {293-326},
title = {Wolff's inequality for hypersurfaces.},
url = {http://eudml.org/doc/41779},
volume = {57},
year = {2006},
}

TY - JOUR
AU - Laba, Izabella
AU - Pramanik, Malabika
TI - Wolff's inequality for hypersurfaces.
JO - Collectanea Mathematica
PY - 2006
VL - 57
IS - Extra
SP - 293
EP - 326
AB - We extend Wolff's "local smoothing" inequality to a wider class of not necessarily conical hypersurfaces of codimension 1. This class includes surfaces with nonvanishing curvature, as well as certain surfaces with more than one flat direction. An immediate consequence is the Lp-boundedness of the corresponding Fourier multiplier operators.
LA - eng
KW - Análisis de Fourier; Sumabilidad; Multiplicadores; Hipersuperficies; Wolff's inequality; local smoothing; cone multipliers
UR - http://eudml.org/doc/41779
ER -

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