Weighted tent spaces with Whitney averages: factorization, interpolation and duality
Weighted tent spaces with Whitney averages: factorization, interpolation and duality
复制标题
具有惠特尼平均值的加权帐篷空间：因式分解、插值和对偶性
DOI：
10.1007/s00209-015-1570-0
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发表时间：
2013
影响因子：
0.8
通讯作者：
Yi Huang
中科院分区：
文献类型：
--
作者：
Yi Huang
本文引入了一种新的帐篷空间标度，它涵盖了Coifman-Meyer-Stein和Hofmann-Mayboroda-McIntosh的（加权）帐篷空间，以及Dahlberg，Kenig-Pipher和Auscher-Axelsson在研究椭圆型方程组边值问题时所考虑的帐篷空间.我们的帐篷空间内的强分解，应用到拟Banach复插值和乘子对偶理论，然后建立。这样，我们统一和推广了Coifman-Meyer-Stein，Cohn-Verbitsky和Hytönen-Rosén的相应结果.
In this paper, we introduce a new scale of tent spaces which covers, the (weighted) tent spaces of Coifman–Meyer–Stein and of Hofmann–Mayboroda–McIntosh, and some other tent spaces considered by Dahlberg, Kenig–Pipher and Auscher–Axelsson in studying boundary value problems for elliptic systems. The strong factorizations within our tent spaces, with applications to quasi-Banach complex interpolation and to multiplier-duality theory, are then established. This way, we unify and extend the corresponding results obtained by Coifman–Meyer–Stein, Cohn–Verbitsky and Hytönen-Rosén.