论文标题
复杂谐波函数的新组成产品,相对于这些和组成算子诱导的动态
New composition products for complex harmonic functions, the dynamic with respect to these and composition operators induced
论文作者
论文摘要
在这项工作中,我们提出了复杂谐波函数类别中的组成产物,以使两个这样的功能的组成再次成为复杂的谐波函数。从这里开始,我们开始研究此类功能的迭代,这简要显示了它们成为未来研究的话题的潜力。同时,我们定义和研究组成算子的符号属于工作中还引入了复杂谐波功能的耐用空间。所有这些构成了先前的工作,用于研究由复杂谐波功能组成的半群和进化家庭。
In this work we propose composition products in the class of complex harmonic functions so that the composition of two such functions is again a complex harmonic function. From here we begin the study of the iterations of the functions of this class showing briefly their potential to be a topic of future research. In parallel, we define and study composition operators whose symbols belong to a Hardy space of complex harmonic functions also introduced in the work. All this constitutes a previous work for the research of semigroups and evolutionary families composed of complex harmonic functions.