Singular integrals and the Newton diagram

Anthony Carbery; Stephen Wainger; James Wright

Singular integrals and the Newton diagram

Anthony Carbery, Stephen Wainger, James Wright

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

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

Original language	English
Pages (from-to)	171-194
Number of pages	24
Journal	Collectanea mathematica
Publication status	Published - 2006

Keywords / Materials (for Non-textual outputs)

singular integrals
Newton diagram
HILBERT-TRANSFORMS
OPERATORS

Cite this

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title = "Singular integrals and the Newton diagram",

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

keywords = "singular integrals, Newton diagram, HILBERT-TRANSFORMS, OPERATORS",

author = "Anthony Carbery and Stephen Wainger and James Wright",

year = "2006",

language = "English",

pages = "171--194",

journal = "Collectanea mathematica",

issn = "0010-0757",

publisher = "Springer",

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TY - JOUR

T1 - Singular integrals and the Newton diagram

AU - Carbery, Anthony

AU - Wainger, Stephen

AU - Wright, James

PY - 2006

Y1 - 2006

N2 - We examine several scalar oscillatory singular integrals involving a real-analytic phase function phi(s,t) of two real variables and illustrate how one can use the Newton diagram of phi to efficiently analyse these objects. We use these results to bound certain singular integral operators.

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

KW - singular integrals

KW - Newton diagram

KW - HILBERT-TRANSFORMS

KW - OPERATORS

M3 - Article

SN - 0010-0757

SP - 171

EP - 194

JO - Collectanea mathematica

JF - Collectanea mathematica

ER -

Singular integrals and the Newton diagram

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

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Cite this