应用数学2009,Vol.22Issue(1):223-232,10.
RBMO(μ)与θ(t)型Calderón-Zygmund算子的交换子的有界性
Boundedness of Commutator of RBMO(μ) with θ(t) Type Calderón-Zygmund Operators
摘要
Abstract
Let μ be a Randon measure on Rd which may be non doubling.The only condition that μ must satisfy is the growth condition μ(B(x,r))≤Crn for all x∈Rd,r>0 and for some fixed 0<n≤d.In this paper,under this assumption,the boundedness of the commutators of RBMO(μ) with θ(t) type Calderón-Zygmund operators from L∞(μ) to RBMO(μ) and from H1b(μ) to L1(μ) are established.关键词
θ(t)型Calderón-Zygmund算子/Hardy空间/RBMO空间/交换子/非双倍测度Key words
θ(t) type Calderón-Zygmund operator/Hardy space/RBMO space/Commutator/Non doubling measure分类
数理科学引用本文复制引用
赵凯,任晓芳,周淑娟,王磊..RBMO(μ)与θ(t)型Calderón-Zygmund算子的交换子的有界性[J].应用数学,2009,22(1):223-232,10.基金项目
Supported by NNSF-China(10671115) (10671115)