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

• Autorzy: Huoxiong Wu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 167
• Numer: 1
• Strony: 29-43

Daty

wydano

2005

Twórcy

autor

Huoxiong Wu

• School of Mathematical Sciences, Xiamen University, Xiamen 361005, People's Republic of China

Identyfikatory

DOI

10.4064/sm167-1-3