An estimation for a family of oscillatory integrals

• Autorzy: Magali Folch-Gabayet , James Wright
• Języki publikacji: EN

Abstrakty

EN

Let K be a Calderón-Zygmund kernel and P a real polynomial defined on ℝⁿ with P(0) = 0. We prove that convolution with Kexp(i/P) is continuous on L²(ℝⁿ) with bounds depending only on K, n and the degree of P, but not on the coefficients of P.

Kategorie tematyczne

• 42B15: Multipliers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 154
• Numer: 1
• Strony: 89-97

Daty

wydano

2003

Twórcy

autor

Magali Folch-Gabayet

• Instituto de Matemáticas, UNAM, Area de la Investigación Científica, Circuito Exterior, Ciudad Universitaria, México, D.F. 04510, México

autor

James Wright

• Department of Mathematics and Statistics, University of Edinburgh, JCMB, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ, Scotland

Identyfikatory

DOI

10.4064/sm154-1-6