关于单位园周上阶梯函数的性质On the Properties of the Step Function on the Unit Circle
王建功;
摘要(Abstract):
T.Sheil-Small [1]讨论了阶梯函数的Fourier级数。本文对[1]中所涉及到一些阶梯函数的性质进行了详细讨论,并给出了详细证明。
关键词(KeyWords): 阶梯函数;调和延拓;Blashke积
基金项目(Foundation):
作者(Authors): 王建功;
参考文献(References):
- 1. T. Sheil-Small, On the Fourier Series of a Step Function, Michigan Math J, 36 (1989) .
- 2. Lars. V. Ahlfors "Complex Analysis" (third edition), McGraw-Hill Book Co., 1979.
- 3. R. R. Hall, On an inequality of E. Heinz, J. Analyse Math. 42 (1983;, 185-198.
- 4. W. Hengartner and G. Schober, On the boundary behaviour of orientation-prcserving harmonic mappings, Complex Variables 5 (1986) , 197--208.