广义Calderón-Zygmund算子交换子的有界性  

Boundedness of Commutators of Generalized Calderón-Zygmund Operators

作　　者：吴田峰[1] 孔祥波[1] 

机构地区：[1]新疆大学数学与系统科学学院,乌鲁木齐830046

出　　处：《绵阳师范学院学报》2008年第8期32-37,共6页Journal of Mianyang Teachers＇ College

摘　　要：Der-Chen Chang首先引入了广义Calderon-Zygmund算子并得到了它在Lp(ω)空间上的有界性,其中ω∈A1。李俊峰研究了广义Calderon-Zygmund算子T在加权Hardy空间,加权L∞空间及加权BMO空间上的有界性,同时给出了对应的T(1)定理。该文证明了由BMO函数生成的广义Calderon-Zygmund算子交换子在Lp(Rn)空间上的有界性,同时也得到了其端点估计。Der - Chen Chang is the first to introduce generalized Calderon - Zygmund operator and obtain its boundedness in L^p （ω） spaces among which ω∈A1. Li Junfeng studied the boundedness of generalized Calderon - Zygmund operator in weighted Hardy space, weighted L^∞ spaces and weighted BMO space, and gave its T（ 1 ） theorem in his dissertation. In this paper, we prove that the commutator of generalized Calderon - Zygrnund operator with BMO function is bounded in L^p （R^n） space. We also get its endpoint estimates.

关 键 词：广义Calderon—Zygmund算子 交换子 L^p(R^n)空间 H^1(R^n)空间 Hb^1(R^n)空间 

分 类 号：O174.2[理学—数学]