Bilinear integral operators with certain hypersingularities

Yaryong Heo; Sunggeum Hong; Chan Woo Yang

doi:10.1016/j.jmaa.2017.07.005

Bilinear integral operators with certain hypersingularities

Yaryong Heo^*, Sunggeum Hong, Chan Woo Yang

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this paper, we establish the sharp L^p boundedness for the bilinear integral operators with certain hypersingularities that generalize the bilinear Hilbert transform.

Original language	English
Pages (from-to)	628-661
Number of pages	34
Journal	Journal of Mathematical Analysis and Applications
Volume	456
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2017.07.005
Publication status	Published - 2017 Dec 1

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Inc.

Keywords

Bilinear Hilbert transform
Bilinear operators
Fractional derivatives
Hypersingular integral operators

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2017.07.005

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@article{2d9839484cf0454aa9cf56261ca8f51c,

title = "Bilinear integral operators with certain hypersingularities",

abstract = "In this paper, we establish the sharp Lp boundedness for the bilinear integral operators with certain hypersingularities that generalize the bilinear Hilbert transform.",

keywords = "Bilinear Hilbert transform, Bilinear operators, Fractional derivatives, Hypersingular integral operators",

author = "Yaryong Heo and Sunggeum Hong and Yang, \{Chan Woo\}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

month = dec,

day = "1",

doi = "10.1016/j.jmaa.2017.07.005",

language = "English",

volume = "456",

pages = "628--661",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Bilinear integral operators with certain hypersingularities

AU - Heo, Yaryong

AU - Hong, Sunggeum

AU - Yang, Chan Woo

PY - 2017/12/1

Y1 - 2017/12/1

N2 - In this paper, we establish the sharp Lp boundedness for the bilinear integral operators with certain hypersingularities that generalize the bilinear Hilbert transform.

AB - In this paper, we establish the sharp Lp boundedness for the bilinear integral operators with certain hypersingularities that generalize the bilinear Hilbert transform.

KW - Bilinear Hilbert transform

KW - Bilinear operators

KW - Fractional derivatives

KW - Hypersingular integral operators

UR - https://www.scopus.com/pages/publications/85025655590

U2 - 10.1016/j.jmaa.2017.07.005

DO - 10.1016/j.jmaa.2017.07.005

M3 - Article

AN - SCOPUS:85025655590

SN - 0022-247X

VL - 456

SP - 628

EP - 661

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Bilinear integral operators with certain hypersingularities

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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