Besov函数与Marcinkiewicz积分生成交换子的有界性问题

Boundedness of commutators of Besov functions and Marcinkiewicz integrals

令b是Besov函数,μ是核函数满足Lip(α0<α≤1)条件的Marcinkiewicz积分,本文研究了由b和μ生成的交换子Cb从L(pRn)到L(qRn)的有界性以及从L(dRn)到Triebel-Lizorkin空间的有界性。

Let b is Besov function,and μ is Marcinkiewicz intefral whose kenal satisfy Lipα（0α≤1）condition.In this paper,we study the commutators Cb generated by b and μ is bounded from L（pRn）to L（qRn）and fron L（dRn）to Triebel-Lizorkin spaces.