Singular integrals and the Newton diagram

• Autores: Stephen Wainger, James Wright, Anthony Carbery
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 57, Fasc. Extra 1, 2006 (Ejemplar dedicado a: Proceedings of the 7th International Conference on Harmonic Analysis and Partial Differential Equations), págs. 171-194
• Idioma: español
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• Resumen

  • We examine several scalar oscillatory singular integrals involving a realanalytic phase function (s, t) of two real variables and illustrate how one can use the Newton diagram of  to eciently analyse these objects.

    We use these results to bound certain singular integral operators.