# 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

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topCarbery, 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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