【摘要】 研究了Littlewood-Paley g_λ~*-函数交换子的端点估计.利用函数分解技术,证明了当q>1时g_λ~*-函数与LMO(R~n)(BMO(R~n)的一个子空间)函数生成的交换子[b,g_λ~*]是局部Hardy空间h1(R~n)到空间h~1(R~n)+L~q(R~n)的一个连续映射.推广了Coifman,Rochberg和Weiss关于交换子的经典结果.更多还原

【Abstract】 We investigate the end point estimate for commutator associated with the LittlewoodPaley g_λ~*-function and function of LMO(R~n)(a subspace of BMO(R~n) space).Using the technique of function decomposition,we prove that the commutator of[b,g_λ~*]is a boundedness map from local Hardy space h~1(R~n) to space h~1(R~n) + L~q(R~n).This result is a generalization of the classic result of Coifman,Rochberg and Weiss.更多还原