摘要
本文的主要结果是:当A(ξ,η)满足A0,A1,A2,A3,A4时,则T_b在L^2(K)中有界的充要条件是b∈BMO(K).并用此结果推出带符号b的分数次积分交换子,奇异积分交换子在L^2(K)中有界的充要条件,和带符号b的乘子交换子在L^2(K)中有界的一个充分条件.
The main result of this paper is: suppose that A(ζ,η) satisfies A0, A1, A2, A3, A4, then Tb is bounded on L2(K) if and only if b eBMO(K). We apply this result to prove that the commutator of fractional integration with b is bounded on L2(K) if and only if b∈I-s(BMO), (-1 < s < 0), the commutator of singular integral transform with b is bounded on L2(K) if and only if b∈BMO(K), and the commutator of multiplier with b is bounded on L2(K) if b∈BMO(K).
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1997年第2期296-300,共5页
Acta Mathematica Sinica：Chinese Series
