simply connected域上的Carleson测度
Carleson measures on simply connected domains
摘要：
研究了一般单连通域上Hardy空间和加权Bergman空间的Carleson测度。这个程序是由Zinsmeister在他的论文\textit{Les domaines de Carleson }（1989）中发起的，他在论文中指出了域的几何形状起着基本的作用。我们将回顾经典的结果提出，在某些情况下，替代的证明，并将检查加权伯格曼空间的情况。
英文摘要：
We study the Carleson measures associated to the Hardy and weighted Bergman spaces defined on general simply connected domains. This program was initiated by Zinsmeister in his paper \textit{Les domaines de Carleson }(1989), where he shows that the geometry of the domain plays a fundamental role. We will review the classical results presenting, in some cases, alternative proofs and will examine the situation for the weighted Bergman spaces.
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