Mathematical Sciences: Problems in Function Theory

这个项目是函数论中的数学研究， 算子理论 将进行三方面的调查。 第一个涉及多项式近似相对于某些 各种措施支持在封闭的单位光盘。 第二 区域涉及有关 在圆盘和单位中的各种解析函数空间 球在复杂的n-空间;这包括问题的有界性 和范数估计，紧性和谱性质， 复合运算符 最后，研究了交换全纯 将启动n球的自映射。

This project is mathematical research in function theory and operator theory. Three lines of investigation will be pursued. The first involves polynomial approximation relative to certain kinds of measures supported in the closed unit disc. The second area involves problems concerning composition operators on various spaces of analytic functions in the disc and in the unit ball in complex n-space; this includes questions of boundedness and norm estimates, compactness, and spectral properties of composition operators. Finally, a study of commuting holomorphic self-maps of the n-ball will be initiated.