论文标题
在公开场合的加权自我改善
Self-improvement of weighted pointwise inequalities on open sets
论文作者
论文摘要
我们证明了一个普遍的自我完善特性，用于开放式的一个加权点不平等的家族，包括距离距离重量的刻薄不平等。为此，我们介绍和研究了$ p $-poincaré的类别和$ p $ - hardy striges的$ω\子集X $，其中$ x $是度量衡量标准。我们还应用了与常规不可或缺的不等式相关的加权点强度不平等的自我完善。
We prove a general self-improvement property for a family of weighted pointwise inequalities on open sets, including pointwise Hardy inequalities with distance weights. For this purpose we introduce and study the classes of $p$-Poincaré and $p$-Hardy weights for an open set $Ω\subset X$, where $X$ is a metric measure space. We also apply the self-improvement of weighted pointwise Hardy inequalities in connection with usual integral versions of Hardy inequalities.
