【摘要】 设μ为R^d上的非负Radon测度,仅满足增长条件:对所有的x∈R^d,r>0有μ（B（x,r））≦C₀rⁿ,其中C₀是一个固定的常数且0<n≤d.在非双倍测度下,本文建立了Marcinkiewicz积分与Orlicz型函数生成的交换子和多线性交换子从L（logL）^1/r（μ）到弱L¹（μ）的有界性.更多还原

【Abstract】 Let μ be a nonnegative Radon measure on R^d which only satisfies the growth condition μ（B（x,r））≤ C₀rⁿ for all x∈R^d and r>0,where C₀ is a fixed constant and0 < n < d.The purpose of this paper is to establish the boundedness from L（log L）^1/r（μ） to weak L¹（μ） for the commutators and the multilinear commutators generated by Marcinkiewicz integrals and Orlicz type functions with the non-doubling measures μ.更多还原