The author studies the commutators generated by a suitable function a(x) on ℝⁿ and the oscillatory singular integral with rough kernel Ω(x)|x|ⁿ and polynomial phase, where Ω is homogeneous of degree zero on ℝⁿ, and a(x) is a BMO function or a Lipschitz function. Some mapping properties of these higher order commutators on , which are essential improvements of some well known results, are given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm167-1-3,
author = {Huoxiong Wu},
title = {Boundedness of higher order commutators of oscillatory singular integrals with rough kernels},
journal = {Studia Mathematica},
volume = {166},
year = {2005},
pages = {29-43},
zbl = {1060.42012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm167-1-3}
}
Huoxiong Wu. Boundedness of higher order commutators of oscillatory singular integrals with rough kernels. Studia Mathematica, Tome 166 (2005) pp. 29-43. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm167-1-3/