Geodesic
On the weak (1,1) boundedness of a class of oscillatory singular integrals
Studia Mathematica, Tome 106 (1993) no. 3, pp. 279-287

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

We prove the uniform weak (1,1) boundedness of a class of oscillatory singular integrals under certain conditions on the phase functions. Our conditions allow the phase function to be completely flat. Examples of such phase functions include $ϕ(x) = e^{-1/x^2}$ and $ϕ(x) = xe^{-1/|x|}$. Some related counterexample is also discussed.
DOI : 10.4064/sm-106-3-279-287

Yibiao Pan 1

1 
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Yibiao Pan. On the weak (1,1) boundedness of a class of oscillatory singular integrals. Studia Mathematica, Tome 106 (1993) no. 3, pp. 279-287. doi: 10.4064/sm-106-3-279-287

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