Boundedness of higher order commutators of oscillatory singular integrals with rough kernels

Huoxiong Wu. "Boundedness of higher order commutators of oscillatory singular integrals with rough kernels." Studia Mathematica 167.1 (2005): 29-43. <http://eudml.org/doc/284728>.

@article{HuoxiongWu2005,
abstract = {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 $L^\{p\}(ℝⁿ)$, which are essential improvements of some well known results, are given.},
author = {Huoxiong Wu},
journal = {Studia Mathematica},
keywords = {oscillatory singular integral; commutator; BMO; BLO; block; Lipschitz spaces; rough kernel},
language = {eng},
number = {1},
pages = {29-43},
title = {Boundedness of higher order commutators of oscillatory singular integrals with rough kernels},
url = {http://eudml.org/doc/284728},
volume = {167},
year = {2005},
}

TY - JOUR
AU - Huoxiong Wu
TI - Boundedness of higher order commutators of oscillatory singular integrals with rough kernels
JO - Studia Mathematica
PY - 2005
VL - 167
IS - 1
SP - 29
EP - 43
AB - 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 $L^{p}(ℝⁿ)$, which are essential improvements of some well known results, are given.
LA - eng
KW - oscillatory singular integral; commutator; BMO; BLO; block; Lipschitz spaces; rough kernel
UR - http://eudml.org/doc/284728
ER -