论文标题
关于无差异矢量场的BMO-NORM与相关副公共的标准的等效性
On the equivalence of the BMO-norm of divergence-free vector fields and norm of related paracommutators
论文作者
论文摘要
我们在$ {\ mathbb r}^3 $中以相关的Paracommutator的运算符规范来建立$ {\ Mathbb r}^3 $中的BMO-NORM的估计值。后者本质上是$ψ$ do，其符号在矢量字段上线性依赖。加上P.〜Auscher和M.〜Taylor关于相反估计的结果，这在与BMO的无差异场空间中提供了等效的规范。
We establish an estimate of the BMO-norm of a divergence-free vector field in ${\mathbb R}^3$ in terms of the operator norm of an associated paracommutator. The latter is essentially a $Ψ$DO, whose symbol depends linearly on the vector field. Together with the result of P.~Auscher and M.~Taylor concerning the converse estimate, this provides an equivalent norm in the space of divergence-free fields from BMO.
