论文摘要
调和分析里对Lorentz空间的定义和讨论很多。Loukas Grafakos著的《傅立叶分析》中引用的与Terrence Tao所引用的Lorentz空间的定义不同,本文第一部分证明了二者定义的一致性,然后根据Terrence Tao所构筑的特征刻画和对偶刻画定理进行细致证明,完整了对偶刻画定理的证明。最后在第二部分的基础上就实插值定理证明引入新的具有重要应用价值的证明方法。
论文目录
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