论文标题
非代数环境中点乘数的基本规范
Essential norms of pointwise multipliers in the non-algebraic setting
论文作者
论文摘要
受到最新结果的动机，但也指的是公认的经典，我们计算了在两个不同的k {\“ o}之间作用在两个不同的$σ$ finite度量空间上定义的乘法运算符的弱基本规范。我们在这里开发了一些与Banach序列相关的函数的应用程序，在相同的$σ$ finite度量空间中定义的空间。强壮的空间。
Motivated by some recent results, but also referring to recognized classics, we compute the essential norm and the weak essential norm of multiplication operators acting between two distinct K{\" o}the spaces both defined over the same $σ$-finite measure space. A by-product of the technology we have developed here are some applications to Banach sequence spaces related to decreasing functions and to Banach spaces of analytic functions on the unit disc, in particular, Hardy spaces. We will close our work with some specific examples illustrating the previously obtained results including Musielak--Orlicz sequence spaces (in particular, Nakano sequence spaces) as well as Lorentz and Marcinkiewicz sequence spaces.
