拟交比同胚作为拟对称函数的偏差估计

Deviation Estimation for Quasihomographies as a Quasi-Symmetric Function

单位圆上的拟交比同胚和拟对称函数,都是拟共形映照边界值的一种几何表征.文中在Zajac等人对两者关系研究的基础上作进一步研究,改进相关结果并得到更好的上界估计.

Quasihomographies and quasi-symmetric function on the unit circle are geometric characterizations of boundary value of quasi-conformal mapping. The author improves some relevant results, and obtains a better estimation of upper bound.