Singular integrals and the Newton diagram.

Anthony Carbery; Stephen Wainger; James Wright

Collectanea Mathematica (2006)

  • Volume: 57, Issue: Extra, page 171-194
  • ISSN: 0010-0757

Abstract

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We examine several scalar oscillatory singular integrals involving a real-analytic phase function φ(s,t) of two real variables and illustrate how one can use the Newton diagram of φ to efficiently analyse these objects. We use these results to bound certain singular integral operators.

How to cite

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Carbery, Anthony, Wainger, Stephen, and Wright, James. "Singular integrals and the Newton diagram.." Collectanea Mathematica 57.Extra (2006): 171-194. <http://eudml.org/doc/41786>.

@article{Carbery2006,
abstract = {We examine several scalar oscillatory singular integrals involving a real-analytic phase function φ(s,t) of two real variables and illustrate how one can use the Newton diagram of φ to efficiently analyse these objects. We use these results to bound certain singular integral operators.},
author = {Carbery, Anthony, Wainger, Stephen, Wright, James},
journal = {Collectanea Mathematica},
keywords = {Análisis de Fourier; Multiplicadores; Integrales singulares; Operadores integrales; Acotación},
language = {eng},
number = {Extra},
pages = {171-194},
title = {Singular integrals and the Newton diagram.},
url = {http://eudml.org/doc/41786},
volume = {57},
year = {2006},
}

TY - JOUR
AU - Carbery, Anthony
AU - Wainger, Stephen
AU - Wright, James
TI - Singular integrals and the Newton diagram.
JO - Collectanea Mathematica
PY - 2006
VL - 57
IS - Extra
SP - 171
EP - 194
AB - We examine several scalar oscillatory singular integrals involving a real-analytic phase function φ(s,t) of two real variables and illustrate how one can use the Newton diagram of φ to efficiently analyse these objects. We use these results to bound certain singular integral operators.
LA - eng
KW - Análisis de Fourier; Multiplicadores; Integrales singulares; Operadores integrales; Acotación
UR - http://eudml.org/doc/41786
ER -

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