多圆盘上的H^1上的极值问题

Extreme Problem on H^1 of n-Torus

一个本性有界函数可以给出多个圆盘上的H1空间上的连续线性泛函,在本文中,我们考虑H1上基于(1)是有理函数;(2)是n个单变量函数的乘积;(3)对于某个H1中的外函数f,有=|f|/f,使得f(z1,z2,…,zn)具有良好性质三种情形下的极值问题.

An essential bounded function  gives a continuous linear functional on the Hardy H1 space on the n-torus.In this paper,we continue consider extremal problems on H1 with that  is a rational function, is a product of one variable functions or =｜f｜/f for some outer function f in H1 such that f（z1,z2,…,zn） has a good property.