一类Schrdinger型算子在Herz-Morrey空间上的有界性

Boundedness of a class of Schrdinger type operators on Herz-Morrey spaces

考虑了一类Schrdinger型算子Tβ及其交换子的有界性问题.基于其在经典Lebesgue空间上的有界性,利用分环技巧对Tβ及其与b(b∈BMO_σ(ρ))生成的交换子[b,Tβ]进行估计,得到了它们在Herz-Morrey空间上的有界性.

In this paper,we considered the boundedness of a class of Schrodinger type operator Tβand its commutator[b;Tβ].Based on the boundedness of the operator Tβon Lebesgue space,we estimated the boundedness of the operator Tβand the commutator generated by Tβandb(b∈BMOσ(ρ))by means of sub ring technique,and obtained the boundedness of them on Herz-Morrey space.