Besov 空间上的算子插值定理

摘要

本文研究了算子的插值问题.利用Riesz-Thorin定理的证明方法,并运用Daubechies小波得到了Besov空间上的线性算子的插值定理.%In this paper, we consider the interpolation of operators. Following the method presented in the proof of the Riesz-Thorin theorem, we apply Daubechies wavelets to establish the interpolation theorem of linear operators on certain Besov spaces.