A bilinear oscillatory integral along parabolas

Dashan Fan; Xiaochun Li

doi:10.1007/s11117-008-2270-3

A bilinear oscillatory integral along parabolas

Dashan Fan, Xiaochun Li

Mathematics

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

Abstract

We establish an L∞× L² → L² norm estimate for a bilinear oscillatory integral operator along parabolas incorporating oscillatory factors e^it-β.

Original language	English (US)
Pages (from-to)	339-366
Number of pages	28
Journal	Positivity
Volume	13
Issue number	2
DOIs	https://doi.org/10.1007/s11117-008-2270-3
State	Published - May 2009

Keywords

Bilinear operator
Oscillatory integral

ASJC Scopus subject areas

Analysis
Theoretical Computer Science
General Mathematics

Online availability

10.1007/s11117-008-2270-3

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@article{013b43c9d7db4824a08e40715b8e2848,

title = "A bilinear oscillatory integral along parabolas",

abstract = "We establish an L∞× L2 → L2 norm estimate for a bilinear oscillatory integral operator along parabolas incorporating oscillatory factors eit-β.",

keywords = "Bilinear operator, Oscillatory integral",

author = "Dashan Fan and Xiaochun Li",

note = "Funding Information: The first author was partially supported by NSF grant of China grant 10671079. The second author was supported by NSF grant DMS-0456976.",

year = "2009",

month = may,

doi = "10.1007/s11117-008-2270-3",

language = "English (US)",

volume = "13",

pages = "339--366",

journal = "Positivity",

issn = "1385-1292",

publisher = "Birkhauser Verlag Basel",

number = "2",

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T1 - A bilinear oscillatory integral along parabolas

AU - Fan, Dashan

AU - Li, Xiaochun

N1 - Funding Information: The first author was partially supported by NSF grant of China grant 10671079. The second author was supported by NSF grant DMS-0456976.

PY - 2009/5

Y1 - 2009/5

N2 - We establish an L∞× L2 → L2 norm estimate for a bilinear oscillatory integral operator along parabolas incorporating oscillatory factors eit-β.

AB - We establish an L∞× L2 → L2 norm estimate for a bilinear oscillatory integral operator along parabolas incorporating oscillatory factors eit-β.

KW - Bilinear operator

KW - Oscillatory integral

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UR - http://www.scopus.com/inward/citedby.url?scp=60849098151&partnerID=8YFLogxK

U2 - 10.1007/s11117-008-2270-3

DO - 10.1007/s11117-008-2270-3

M3 - Article

AN - SCOPUS:60849098151

SN - 1385-1292

VL - 13

SP - 339

EP - 366

JO - Positivity

JF - Positivity

IS - 2

ER -

A bilinear oscillatory integral along parabolas

Abstract

Keywords

ASJC Scopus subject areas

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