多圆盘和球上非零函数的循环性
Cyclicity of non vanishing functions in the polydisc and in the ball
摘要：
我们使用一个特殊版本的电晕定理在几个变量，有效时，所有的数据函数，但一个是光滑的，推广到polydisc和球的El Fallah获得的结果，Kellay和Seip关于由Taylor系数的幂的加权和或由幂的径向加权积分确定的解析函数的足够大的巴拿赫空间中的非零有界全纯函数的循环性求函数的模。
英文摘要：
We use a special version of the Corona Theorem in several variables, valid when all but one of the data functions are smooth, to generalize to the polydisc and to the ball results obtained by El Fallah, Kellay and Seip about cyclicity of non vanishing bounded holomorphic functions in large enough Banach spaces of analytic functions determined either by weighted sums of powers of Taylor coefficients or by radially weighted integrals of powers of the modulus of the function.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
