An estimation for a family of oscillatory integrals

Magali Folch-Gabayet, and James Wright. "An estimation for a family of oscillatory integrals." Studia Mathematica 154.1 (2003): 89-97. <http://eudml.org/doc/285177>.

@article{MagaliFolch2003,
abstract = {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.},
author = {Magali Folch-Gabayet, James Wright},
journal = {Studia Mathematica},
keywords = {principal value tempered distribution; oscillatory integral; Calderón-Zygmund kernel},
language = {eng},
number = {1},
pages = {89-97},
title = {An estimation for a family of oscillatory integrals},
url = {http://eudml.org/doc/285177},
volume = {154},
year = {2003},
}

TY - JOUR
AU - Magali Folch-Gabayet
AU - James Wright
TI - An estimation for a family of oscillatory integrals
JO - Studia Mathematica
PY - 2003
VL - 154
IS - 1
SP - 89
EP - 97
AB - 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.
LA - eng
KW - principal value tempered distribution; oscillatory integral; Calderón-Zygmund kernel
UR - http://eudml.org/doc/285177
ER -