Singular integrals and the Newton diagram.
Carbery, Anthony ; Wainger, Stephen ; Wright, James
Collectanea Mathematica, Tome 57 (2006), p. 171-194 / Harvested from Biblioteca Digital de Matemáticas
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We examine several scalar oscillatory singular integrals involving a real-analytic phase function φ(s,t) of two real variables and illustrate how one can use the Newton diagram of φ to efficiently analyse these objects. We use these results to bound certain singular integral operators.

Publié le : 2006-01-01
DMLE-ID : 4273 
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     title = {Singular integrals and the Newton diagram.},
     journal = {Collectanea Mathematica},
     volume = {57},
     year = {2006},
     pages = {171-194},
     zbl = {1213.42024},
     mrnumber = {MR2264209},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41786}
}

Carbery, Anthony; Wainger, Stephen; Wright, James. Singular integrals and the Newton diagram.. Collectanea Mathematica, Tome 57 (2006) pp. 171-194. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41786/