论文标题
在大索博莱夫的空间和Banach功能空间的点描述
On grand Sobolev spaces and pointwise description of Banach function spaces
论文作者
论文摘要
我们获得了具有晶格属性功能空间功能的功能的点描述。特别是，只要强壮的小木最大运算符是有限的，则对Banach功能空间有效。我们还研究了加权的大Sobolev空间，该空间定义在任意的开放集（有限或无限度量）上，并提供了它们的点描述。
We obtain a pointwise description of functions belonging to function spaces with the lattice property. In particular, it is valid for Banach function spaces provided that the Hardy-Littlewood maximal operator is bounded. We also study weighted grand Sobolev spaces, defined on arbitrary open sets (of finite or infinite measure), and provide pointwise description of them.
