1Instituto de Matemáticas, UNAM Area de la Investigación Cient{í}fica Circuito Exterior, Ciudad Universitaria México, D.F. 04510, México 2Department 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
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 $P$.
Keywords:
calder zygmund kernel real polynomial defined mathbb prove convolution mathop exp nolimits continuous mathbb bounds depending only degree coefficients
Affiliations des auteurs :
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
