The inner radius of univalency of a domain is greater than zero if and only if the domain is a quasidisc. However,little is known about the value of the inner radius of univalency for various quasidiscs. In this paper...The inner radius of univalency of a domain is greater than zero if and only if the domain is a quasidisc. However,little is known about the value of the inner radius of univalency for various quasidiscs. In this paper,we will use the comparison principal and obtain the value of the inner radius of univalency of the rhombus domain.展开更多
In this paper, we get a lower bound of inner radius of univalency of Schwarzian derivative by means of the norm of pre-Schwarzian derivative. Furthermore, we apply the theory of Universal Teichmuller Space to explain ...In this paper, we get a lower bound of inner radius of univalency of Schwarzian derivative by means of the norm of pre-Schwarzian derivative. Furthermore, we apply the theory of Universal Teichmuller Space to explain its geometric meaning which shows the relationship between the inner radius in Universal Teichmuller Space embedded by Schwarzian derivative and the norm defined in Universal Teichmuller Space embedded by pre-Schwarzian derivative.展开更多
In this paper,the inner radius of univalency of hyperbolic domains by pre-Schwarzian derivative is studied,and some general formulas for the lower bound of the inner radius are established. As their applications,the l...In this paper,the inner radius of univalency of hyperbolic domains by pre-Schwarzian derivative is studied,and some general formulas for the lower bound of the inner radius are established. As their applications,the lower bounds of inner radiuses for angular domains and strongly starlike domains are obtained.展开更多
文摘The inner radius of univalency of a domain is greater than zero if and only if the domain is a quasidisc. However,little is known about the value of the inner radius of univalency for various quasidiscs. In this paper,we will use the comparison principal and obtain the value of the inner radius of univalency of the rhombus domain.
基金Supported by China Postdoctoral Science Foundation funded project (No. 20080430571)Jiangxi Educa tional Bureau Foundation (No. G JJ08163)
文摘In this paper, we get a lower bound of inner radius of univalency of Schwarzian derivative by means of the norm of pre-Schwarzian derivative. Furthermore, we apply the theory of Universal Teichmuller Space to explain its geometric meaning which shows the relationship between the inner radius in Universal Teichmuller Space embedded by Schwarzian derivative and the norm defined in Universal Teichmuller Space embedded by pre-Schwarzian derivative.
基金This work was partially supported by the National Natural Science Foundation of China(Grant No.10571028).
文摘In this paper,the inner radius of univalency of hyperbolic domains by pre-Schwarzian derivative is studied,and some general formulas for the lower bound of the inner radius are established. As their applications,the lower bounds of inner radiuses for angular domains and strongly starlike domains are obtained.
