Interpolation and Embeddings of Weighted Tent Spaces
Interpolation and Embeddings of Weighted Tent Spaces
复制标题
加权帐篷空间的插值和嵌入
DOI：
10.1007/s00041-017-9521-2
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发表时间：
2015
影响因子：
1.2
通讯作者：
Alex Amenta
中科院分区：
文献类型：
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作者：
Alex Amenta
给定一个度量尺度，我们考虑一个功能空间的尺度，称为加权帐篷空间尺度。这是Coifman， Meyer和Stein的帐篷空间规模的延伸。在各种几何假设下，我们确定了一些相关联的插值空间，特别是一些实数插值空间。这些是用一种新的函数空间尺度来识别的，我们称之为z空间，最近出现在Barton和Mayboroda关于Besov空间中具有边界数据的椭圆边值问题的工作中。我们还证明了加权帐篷空间之间的hardy - littlewood - sobolev型嵌入。
Given a metric measure spaceX, we consider a scale of function spaces, called theweighted tent space scale. This is an extension of the tent space scale of Coifman, Meyer, and Stein. Under various geometric assumptions onXwe identify some associated interpolation spaces, in particular certain real interpolation spaces. These are identified with a new scale of function spaces, which we callZ-spaces, that have recently appeared in the work of Barton and Mayboroda on elliptic boundary value problems with boundary data in Besov spaces. We also prove Hardy–Littlewood–Sobolev-type embeddings between weighted tent spaces.