论文标题

对一类Sobolev乘数类型空间的表征

Characterizations of predual spaces to a class of Sobolev multiplier type spaces

论文作者

Ooi, Keng Hao, Phuc, Nguyen Cong

论文摘要

我们将预期和köthe二元组描述为一类Sobolev乘数类型的空间。我们的结果符合谐波分析功能空间的现代理论,也适用于非线性偏微分方程。我们利用来自非线性潜在理论,加权规范不平等的几种工具以及Banach功能空间的理论来获得我们的结果。

We characterize preduals and Köthe duals to a class of Sobolev multiplier type spaces. Our results fit in well with the modern theory of function spaces of harmonic analysis and are also applicable to nonlinear partial differential equations. We make use of several tools from nonlinear potential theory, weighted norm inequalities, and the theory of Banach function spaces to obtain our results.

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