Singular integral operators associated to curves with rational components

Magali Folch-Gabayet; James Wright

doi:10.1090/S0002-9947-07-04349-8

Singular integral operators associated to curves with rational components

Magali Folch-Gabayet, James Wright

School of Mathematics

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

Abstract / Description of output

We prove L-p(R-n),1 < p < infinity, bounds for

[GRAPHICS]

and

[GRAPHICS]

where R-j(t) = P-j(t)/Q(j)(t),j = 1,2...,n, are rational functions. Our bounds depend only on the degrees of the polynomials P-j, Q(j) and, in particular, they do not depend on the coefficients of these polynomials.

Original language	English
Pages (from-to)	1661-1679
Number of pages	19
Journal	Transactions of the American Mathematical Society
Volume	360
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9947-07-04349-8
Publication status	Published - 2008

Keywords / Materials (for Non-textual outputs)

MAXIMAL FUNCTIONS

Access to Document

10.1090/S0002-9947-07-04349-8

Singular intergral operators associated to curves with rational componentsAccepted author manuscript, 654 KB

Degenerate Oscillatory Integral Operators
Wright, J.
EPSRC
1/01/06 → 31/03/09
Project: Research

Cite this

@article{3c39105050214116ada36aba671fb7ee,

title = "Singular integral operators associated to curves with rational components",

abstract = "We prove L-p(R-n),1 < p < infinity, bounds for[GRAPHICS]and[GRAPHICS]where R-j(t) = P-j(t)/Q(j)(t),j = 1,2...,n, are rational functions. Our bounds depend only on the degrees of the polynomials P-j, Q(j) and, in particular, they do not depend on the coefficients of these polynomials.",

keywords = "MAXIMAL FUNCTIONS",

author = "Magali Folch-Gabayet and James Wright",

year = "2008",

doi = "10.1090/S0002-9947-07-04349-8",

language = "English",

volume = "360",

pages = "1661--1679",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Singular integral operators associated to curves with rational components

AU - Folch-Gabayet, Magali

AU - Wright, James

PY - 2008

Y1 - 2008

N2 - We prove L-p(R-n),1 < p < infinity, bounds for[GRAPHICS]and[GRAPHICS]where R-j(t) = P-j(t)/Q(j)(t),j = 1,2...,n, are rational functions. Our bounds depend only on the degrees of the polynomials P-j, Q(j) and, in particular, they do not depend on the coefficients of these polynomials.

AB - We prove L-p(R-n),1 < p < infinity, bounds for[GRAPHICS]and[GRAPHICS]where R-j(t) = P-j(t)/Q(j)(t),j = 1,2...,n, are rational functions. Our bounds depend only on the degrees of the polynomials P-j, Q(j) and, in particular, they do not depend on the coefficients of these polynomials.

KW - MAXIMAL FUNCTIONS

U2 - 10.1090/S0002-9947-07-04349-8

DO - 10.1090/S0002-9947-07-04349-8

M3 - Article

SN - 0002-9947

VL - 360

SP - 1661

EP - 1679

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 3

ER -

Singular integral operators associated to curves with rational components

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

Access to Document

Fingerprint

Projects

Degenerate Oscillatory Integral Operators

Cite this