向量值参数型Marcinkiewicz积分交换子的有界性

THE BOUNDEDNESS OF VECTOR-VALUED COMMUTATORS FOR PARAMETRIC MARCINKIEWCIZ INTEGRALS

证明了向量值参数型Marcinkiewicz积分交换子μb,Ω,rρ是(Lp,.Fp,β∞)和(Lp,Ls)有界的,其中Ω满足某类Lq-Dini条件,拓广了以往的结果.

Vector-valued commutators for parametric Marcinkiewciz integralμ^b,rΩ,p are proved to be from L^p to Fβ,∞p and from L^p to L^s, where Ω satisfies some kind of L^q-Dini condition. Therefore, the results are extended. bounded previous