论文摘要
本文讨论了两个问题:第一问题是Bergman空间和Dirichlet空间上Toeplitz算子的酉等价性。结果说明,在这两类空间上,Toeplitz 算子的酉等价问题比经典的Hardy 空间情形复杂。第二个问题是通过利用Hahn-banach 定理得到的对偶关系将一维空间中函数的最佳逼近和对偶极值函数推广到高维中。
论文目录
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