论文标题
有限变化功能空间的紧凑性
Compactness in the spaces of functions of bounded variation
论文作者
论文摘要
最近给出了有限的约旦变体功能的空间$ bv（[0,1]）$中紧凑性的表征。在这里，对有限的沃特曼$λ$变化，Young $φ$变化和积分变化的功能空间进行了某些概括。看来，在紧凑型集合上，正常是由于选择有限的许多间隔$ [0,1] $均匀地近似的。
Recently the characterization of the compactness in the space $BV([0,1])$ of functions of bounded Jordan variation was given. Here, certain generalizations of this result are given for the spaces of functions of bounded Waterman $Λ$-variation, Young $Φ$-variation and integral variation. It appears that on the compact sets the norm is uniformly approximated by certain seminorms induced by the selection of finitely many intervals in $[0,1]$.
