Iterated Aluthge transforms of composition operators on H-2

作者：Jung Sungeun^*; Kim Yoenha; Ko Eungil

来源：International Journal of Mathematics, 2015, 26(10): 1550079.

DOI：10.1142/S0129167X15500792

• Composition operator
• weighted composition operator
• Aluthge transform
• iterated Aluthge transform

In this paper, we study various properties of the iterated Aluthge transforms of the composition operators C-phi and C-sigma where phi(z) = az + (1 - a) and sigma(z) = az/-(1-a)z+1 for 0 < a < 1. We express the iterated Aluthge transforms (C) over tilde ((n))(phi) wand (C) over tilde ((n))(sigma) as weighted composition operators with linear fractional symbols. As a corollary, we prove that ( n).

• 出版日期2015-9