Geodesic
Boundedness of certain oscillatory singular integrals
Studia Mathematica, Tome 114 (1995) no. 2, pp. 105-116

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-114-2-105-116

Dashan Fan 1

1 
@article{10_4064_sm_114_2_105_116,
     author = {Dashan Fan},
     title = {Boundedness of certain oscillatory singular integrals},
     journal = {Studia Mathematica},
     pages = {105--116},
     publisher = {mathdoc},
     volume = {114},
     number = {2},
     year = {1995},
     doi = {10.4064/sm-114-2-105-116},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-114-2-105-116/}
}
TY  - JOUR
AU  - Dashan Fan
TI  - Boundedness of certain oscillatory singular integrals
JO  - Studia Mathematica
PY  - 1995
SP  - 105
EP  - 116
VL  - 114
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-114-2-105-116/
DO  - 10.4064/sm-114-2-105-116
LA  - en
ID  - 10_4064_sm_114_2_105_116
ER  - 
%0 Journal Article
%A Dashan Fan
%T Boundedness of certain oscillatory singular integrals
%J Studia Mathematica
%D 1995
%P 105-116
%V 114
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-114-2-105-116/
%R 10.4064/sm-114-2-105-116
%G en
%F 10_4064_sm_114_2_105_116
Dashan Fan. Boundedness of certain oscillatory singular integrals. Studia Mathematica, Tome 114 (1995) no. 2, pp. 105-116. doi: 10.4064/sm-114-2-105-116

Cité par Sources :