论文标题
分析帐篷空间中的插值和采样
Interpolation and Sampling in Analytic Tent Spaces
论文作者
论文摘要
由Coifman，Meyer和Stein引入的帐篷空间在谐波分析中看到了广泛的应用。他们的分析表亲已经看到了一些涉及强大空间功能的衍生物的应用。此外，帐篷空间是最近的研究重点。我们介绍了分析帐篷空间的插值和采样序列的概念，类似于伯格曼空间的相同概念。然后，我们以SEIP的上部和下均匀密度来表征此类序列。我们通过为帐篷空间利用一种Möbius不变性来实现这一目标。
Introduced by Coifman, Meyer, and Stein, the tent spaces have seen wide applications in Harmonic Analysis. Their analytic cousins have seen some applications involving the derivatives of Hardy space functions. Moreover, the tent spaces have been a recent focus of research. We introduce the concept of interpolating and sampling sequences for analytic tent spaces analogously to the same concepts for Bergman spaces. We then characterize such sequences in terms of Seip's upper and lower uniform density. We accomplish this by exploiting a kind of Möbius invariance for the tent spaces.
