An oscillatory singular integral operator with polynomial phase
Alvarez, Josfina ; Hounie, Jorge
Studia Mathematica, Tome 133 (1999), p. 1-18 / Harvested from The Polish Digital Mathematics Library
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We prove the continuity of an oscillatory singular integral operator T with polynomial phase P(x,y) on an atomic space HP1 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.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216602 
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Alvarez, Josfina; Hounie, Jorge. An oscillatory singular integral operator with polynomial phase. Studia Mathematica, Tome 133 (1999) pp. 1-18. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv133i1p1bwm/

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