论文标题
具有一般权重的功能空间的复杂插值
Complex interpolation of function spaces with general weights
论文作者
论文摘要
在本文中，我们介绍了具有广义平滑度的BESOV和Triebel-Lizorkin空间的复杂插值。在某些特殊情况下，这些功能空间只是加权besov和triebel-lizorkin空间。一个应用程序，我们获得了加权Triebel-lizorkin空间之间的复杂插值，q_ {1}}}^{s_ {1}}（ω__{1}）\ $，具有适当的假设，对参数$ \ s_ {0}，s_ {1}，p_ {0}，p_ {0}，$ q_ {0} $（ω_{0}，ω__{1}）$。
In this paper, we present the complex interpolation of Besov and Triebel-Lizorkin spaces with generalized smoothness. In some particular cases these function spaces are just weighted Besov and Triebel-Lizorkin spaces. An application, we obtain the complex interpolation between the weighted Triebel-Lizorkin spaces $\dot{F}_{p_{0},q_{0}}^{s_{0}}(ω_{0})$ and $\dot{F}_{\infty ,q_{1}}^{s_{1}}(ω_{1})\ $with suitable assumptions on the parameters $\ s_{0},s_{1},p_{0},$ $q_{0}$ and$\ q_{1}$, and the pair of weights $(ω_{0},ω_{1})$.
