Geodesic
Sharp bounds for oscillatory singular integrals on Hardy spaces
Hussain Al-Qassem1 ; Leslie Cheng2 ; Yibiao Pan3
1 Department of Mathematics and Physics Qatar University Doha, Qatar
2 Department of Mathematics Bryn Mawr College Bryn Mawr, PA 19010, U.S.A.
3 Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260, U.S.A.
Studia Mathematica, Tome 238 (2017) no. 2, pp. 121-132

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

We establish the optimal bound for oscillatory singular integrals with polynomial phase functions of arbitrary degrees on the Hardy space $H^1(\mathbb {R}^n)$. We also prove that such a bound remains valid in the setting of weighted Hardy spaces.
DOI : 10.4064/sm8496-2-2017
Keywords: establish optimal bound oscillatory singular integrals polynomial phase functions arbitrary degrees hardy space mathbb prove bound remains valid setting weighted hardy spaces

Hussain Al-Qassem 1 ; Leslie Cheng 2 ; Yibiao Pan 3

1 Department of Mathematics and Physics Qatar University Doha, Qatar
2 Department of Mathematics Bryn Mawr College Bryn Mawr, PA 19010, U.S.A.
3 Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260, U.S.A. 
@article{10_4064_sm8496_2_2017,
     author = {Hussain Al-Qassem and Leslie Cheng and Yibiao Pan},
     title = {Sharp bounds for oscillatory singular integrals on {Hardy} spaces},
     journal = {Studia Mathematica},
     pages = {121--132},
     publisher = {mathdoc},
     volume = {238},
     number = {2},
     year = {2017},
     doi = {10.4064/sm8496-2-2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm8496-2-2017/}
}
TY  - JOUR
AU  - Hussain Al-Qassem
AU  - Leslie Cheng
AU  - Yibiao Pan
TI  - Sharp bounds for oscillatory singular integrals on Hardy spaces
JO  - Studia Mathematica
PY  - 2017
SP  - 121
EP  - 132
VL  - 238
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm8496-2-2017/
DO  - 10.4064/sm8496-2-2017
LA  - en
ID  - 10_4064_sm8496_2_2017
ER  - 
%0 Journal Article
%A Hussain Al-Qassem
%A Leslie Cheng
%A Yibiao Pan
%T Sharp bounds for oscillatory singular integrals on Hardy spaces
%J Studia Mathematica
%D 2017
%P 121-132
%V 238
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm8496-2-2017/
%R 10.4064/sm8496-2-2017
%G en
%F 10_4064_sm8496_2_2017
Hussain Al-Qassem; Leslie Cheng; Yibiao Pan. Sharp bounds for oscillatory singular integrals on Hardy spaces. Studia Mathematica, Tome 238 (2017) no. 2, pp. 121-132. doi: 10.4064/sm8496-2-2017

Cité par Sources :