摘要
在本文我们考虑振幅a属于HÖrmander类时的拟微分算子Ta在Besov空间上的有界性. 对于0 ≤ ρ ≤ 1, p ≥ 1, 令如果且s > m − m0, 我们证明拟微分算子Ta是Besov空间到的有界算子. 这个结果推广了Stein的一个小结果.
In this note, we consider the boundedness of the pseudo-differential operator Ta whose symbol a belongs to HÖrmander class on Besov spaces.Let 0 ≤ ρ ≤ 1, p ≥ 1 If and s > m − m0, then the pseudo-differential operator Ta is bounded from to . And our work is to generalize a result of Stein.
出处
《应用数学进展》
2023年第3期837-846,共10页
Advances in Applied Mathematics
