Geodesic
An oscillatory singular integral operator with polynomial phase
Studia Mathematica, Tome 133 (1999) no. 1, pp. 1-18

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

We prove the continuity of an oscillatory singular integral operator T with polynomial phase P(x,y) on an atomic space $H_P^1$ related to the phase P. Moreover, we show that the cancellation condition to be imposed on T holds under more general conditions. To that purpose, we obtain a van der Corput type lemma with integrability at infinity.
DOI : 10.4064/sm-133-1-1-18

Josfina Alvarez 1 ; Jorge Hounie 1

1 
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Josfina Alvarez; Jorge Hounie. An oscillatory singular integral operator with polynomial phase. Studia Mathematica, Tome 133 (1999) no. 1, pp. 1-18. doi: 10.4064/sm-133-1-1-18

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