具有非光滑核的奇异积分交换子的加权估计

Weighted estimates for commutators of singular integral operators with non-smooth kernels

    摘要
  • 摘要: 讨论了当α,β∈Ap,b∈BMO(αβ-1)1/p,则交换子b,T(f)从Lp(α)到Lp(β)(1p∞)有界.该文中核的条件要弱于一般点态的Hrmander条件.

     

    Abstract: It is proved that the commutator (f) is a bounded from Lp(α) to Lp(β),1pq∞,where α,β∈ Ap,b∈BMO(αβ-1)1/p.The condition of kernel is weaker than the usual pointwise Hrmander condition.

     

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