k阶Stein函数的有界性

The Boundedness of k-step Stein Functions

通过 Poisson积分构造向量核函数 ,利用向量情形的奇异积分算子的强型估计与弱型估计理论 ,建立了 k阶 Stein函数的强型估计、弱型估计与 BMO模估计 ,完全解决了 k阶 Stein函数的有界性问题 .

On the basis of discussion about the vector kernel function built on the Poisson integral ,the strong type estimate and the weak type estimate,together with BMO-norm of k-step Stein Functions are constructed with the theories of the strong type estimate and the weak type estimate of singular integral operator in the form of vector. So the boundedness problem of k-step Stein Functions is completely solved.