Estimates for oscillatory strongly singular integral operators

Chu Hee Cho; Chan Woo Yang

doi:10.1016/j.jmaa.2009.07.056

Estimates for oscillatory strongly singular integral operators

Chu Hee Cho, Chan Woo Yang

Department of Mathematics

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

2 Citations (Scopus)

Abstract

In this paper we consider oscillatory integral operators with strong singularities on R. We obtain sharp decay estimates for L² operator norm. We also obtain H^p estimates for difference of oscillatory strongly singular integral operators and strongly singular integral operators, which gives L^p mapping properties of oscillatory strongly singular integral operators.

Original language	English
Pages (from-to)	523-533
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	362
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2009.07.056
Publication status	Published - 2010 Feb 15

Keywords

Hardy space
Oscillatory
Sharp decay estimates
Strongly singular

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2009.07.056

Cite this

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title = "Estimates for oscillatory strongly singular integral operators",

abstract = "In this paper we consider oscillatory integral operators with strong singularities on R. We obtain sharp decay estimates for L2 operator norm. We also obtain Hp estimates for difference of oscillatory strongly singular integral operators and strongly singular integral operators, which gives Lp mapping properties of oscillatory strongly singular integral operators.",

keywords = "Hardy space, Oscillatory, Sharp decay estimates, Strongly singular",

author = "Cho, {Chu Hee} and Yang, {Chan Woo}",

note = "Funding Information: ✩ This work was supported by the Korea Research Foundation Grant funded by the Korean Government (KRF-2008-331-C00016).",

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AU - Cho, Chu Hee

AU - Yang, Chan Woo

N1 - Funding Information: ✩ This work was supported by the Korea Research Foundation Grant funded by the Korean Government (KRF-2008-331-C00016).

PY - 2010/2/15

Y1 - 2010/2/15

N2 - In this paper we consider oscillatory integral operators with strong singularities on R. We obtain sharp decay estimates for L2 operator norm. We also obtain Hp estimates for difference of oscillatory strongly singular integral operators and strongly singular integral operators, which gives Lp mapping properties of oscillatory strongly singular integral operators.

AB - In this paper we consider oscillatory integral operators with strong singularities on R. We obtain sharp decay estimates for L2 operator norm. We also obtain Hp estimates for difference of oscillatory strongly singular integral operators and strongly singular integral operators, which gives Lp mapping properties of oscillatory strongly singular integral operators.

KW - Hardy space

KW - Oscillatory

KW - Sharp decay estimates

KW - Strongly singular

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U2 - 10.1016/j.jmaa.2009.07.056

DO - 10.1016/j.jmaa.2009.07.056

M3 - Article

AN - SCOPUS:70350348694

SN - 0022-247X

VL - 362

SP - 523

EP - 533

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Estimates for oscillatory strongly singular integral operators

Abstract

Keywords

ASJC Scopus subject areas

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