Boundedness of certain oscillatory singular integrals

Dashan Fan; Yibiao Pan

Studia Mathematica (1995)

  • Volume: 114, Issue: 2, page 105-116
  • ISSN: 0039-3223

Abstract

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We prove the L p and H 1 boundedness of oscillatory singular integral operators defined by Tf = p.v.Ω∗f, where Ω ( x ) = e i Φ ( x ) K ( x ) , K(x) is a Calderón-Zygmund kernel, and Φ satisfies certain growth conditions.

How to cite

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Fan, Dashan, and Pan, Yibiao. "Boundedness of certain oscillatory singular integrals." Studia Mathematica 114.2 (1995): 105-116. <http://eudml.org/doc/216182>.

@article{Fan1995,
abstract = {We prove the $L^p$ and $H^1$ boundedness of oscillatory singular integral operators defined by Tf = p.v.Ω∗f, where $Ω(x) = e^\{iΦ(x)\}K(x)$, K(x) is a Calderón-Zygmund kernel, and Φ satisfies certain growth conditions.},
author = {Fan, Dashan, Pan, Yibiao},
journal = {Studia Mathematica},
keywords = {oscillatory singular integral operator; Calderón-Zygmund kernel; phase function; hypersingular integral operator; boundedness},
language = {eng},
number = {2},
pages = {105-116},
title = {Boundedness of certain oscillatory singular integrals},
url = {http://eudml.org/doc/216182},
volume = {114},
year = {1995},
}

TY - JOUR
AU - Fan, Dashan
AU - Pan, Yibiao
TI - Boundedness of certain oscillatory singular integrals
JO - Studia Mathematica
PY - 1995
VL - 114
IS - 2
SP - 105
EP - 116
AB - We prove the $L^p$ and $H^1$ boundedness of oscillatory singular integral operators defined by Tf = p.v.Ω∗f, where $Ω(x) = e^{iΦ(x)}K(x)$, K(x) is a Calderón-Zygmund kernel, and Φ satisfies certain growth conditions.
LA - eng
KW - oscillatory singular integral operator; Calderón-Zygmund kernel; phase function; hypersingular integral operator; boundedness
UR - http://eudml.org/doc/216182
ER -

References

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