Geodesic
An estimation for a family of oscillatory integrals
Magali Folch-Gabayet 1   ; James Wright 2
1 Instituto de Matemáticas, UNAM Area de la Investigación Cient{í}fica Circuito Exterior, Ciudad Universitaria México, D.F. 04510, México
2 Department of Mathematics and Statistics University of Edinburgh JCMB, King's Buildings Mayfield Road Edinburgh EH9 3JZ, Scotland
Studia Mathematica, Tome 154 (2003) no. 1, pp. 89-97 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $K$ be a Calderón–Zygmund kernel and $P$ a real polynomial defined on ${\mathbb R}^n$ with $P(0)=0$. We prove that convolution with $K \mathop {\rm exp}\nolimits (i/P) $ is continuous on $L^2 ({\mathbb R}^n)$ with bounds depending only on $K$, $n$ and the degree of $P$, but not on the coefficients of $P$.
DOI : 10.4064/sm154-1-6
Keywords: calder zygmund kernel real polynomial defined mathbb prove convolution mathop exp nolimits continuous mathbb bounds depending only degree coefficients

Magali Folch-Gabayet  1   ; James Wright  2

1 Instituto de Matemáticas, UNAM Area de la Investigación Cient{í}fica Circuito Exterior, Ciudad Universitaria México, D.F. 04510, México
2 Department of Mathematics and Statistics University of Edinburgh JCMB, King's Buildings Mayfield Road Edinburgh EH9 3JZ, Scotland 
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Magali Folch-Gabayet; James Wright. An estimation for a family of oscillatory integrals. Studia Mathematica, Tome 154 (2003) no. 1, pp. 89-97. doi: 10.4064/sm154-1-6

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