$A_\fz^{ρ,\fz}$的外推，薛定谔背景下的向量值不等式及其应用
Extrapolation from $A_\fz^{ρ,\fz}$, vector-valued inequalities and applications in the Schrödinger settings
摘要：
本文将\cite{cmp}中的$A_\fz$外推定理和Rubio de Francia的$A_p$外推定理推广到薛定谔背景.此外，我们还利用属于包含$A_p$的$ A_p^{ρ,\tz}$的权建立了Schr dinger型极大算子的加权向量值不等式.作为它们的应用，我们建立了一些Schödinger型算子和伪微分算子的加权向量值不等式.
英文摘要：
In this paper, we generalize the $A_\fz$ extrapolation theorem in \cite{cmp} and the $A_p$ extrapolation theorem of Rubio de Francia to Schrödinger settings. In addition, we also establish the weighted vector-valued inequalities for Schrödinger type maximal operators by using weights belonging to $ A_p^{ρ,\tz}$ which includes $A_p$. As their applications, we establish the weighted vector-valued inequalities for some Schödinger type operators and pseudo-differential operators.
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