论文标题
定期衡量非紧密度和Ascoli-arzel \`矢量值函数空间中的类型紧凑标准
Regular measures of noncompactness and Ascoli-Arzel\` a type compactness criteria in spaces of vector-valued function
论文作者
论文摘要
在本文中，我们估算了kuratowski和hausdorff的量度测量，用于矢量值有界函数的空间和矢量价值有限的可区分函数的界面子集的非碰撞度量。为此，我们使用的是在新的Equiconti \ nity-type概念和与点相对紧凑相关的经典定量特征上建立的定量特征。我们在考虑的空间中获得了新的定期措施。在某些类别的子集中，建立的不平等现象减少到精确的公式。我们得出Ascoli-arzel \`类型的紧凑标准。
In this paper we estimate the Kuratowski and the Hausdorff measures of noncompactness of bounded subsets of spaces of vector-valued bounded functions and of vector-valued bounded differentiable functions. To this end, we use a quantitative characteristic modeled on a new equiconti\-nuity-type concept and classical quantitative characteristics related to pointwise relative compactness. We obtain new regular measures of noncompactness in the spaces taken into consideration. The established inequalities reduce to precise formulas in some classes of subsets. We derive Ascoli-Arzel\` a type compactness criteria.
