Geodesic
Sharp bounds for oscillatory singular integrals on 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.
Studia Mathematica, Tome 238 (2017) no. 2, pp. 121-132 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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     title = {Sharp bounds for oscillatory singular integrals on {Hardy} spaces},
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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

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