In this paper, we consider growth and covering theorem for f(x), where f(x) is spiallike mapping of type β with order α defined on unit ball B of complex Banach space, and x=0 is zero of order k+1 for f(x)-x....In this paper, we consider growth and covering theorem for f(x), where f(x) is spiallike mapping of type β with order α defined on unit ball B of complex Banach space, and x=0 is zero of order k+1 for f(x)-x. We also dicate that the estimation is precise when β=0 and still give growth upper bound and distortion upper bound for subordinate mapping. This result include some results known.展开更多
In this paper, we deduce growth and covering theorem for f(x) by the othermeans where f(x) is strongly spiral-like mapping of type β with order α defined on UnitBall B of complex Banach space and still give gr...In this paper, we deduce growth and covering theorem for f(x) by the othermeans where f(x) is strongly spiral-like mapping of type β with order α defined on UnitBall B of complex Banach space and still give growth upper bound and distortionbound for subordinate mapping.展开更多
In this paper, the Alexander type theorem in several complex variables is given by using the parametric representation of a kind of starlike mappings. As a corollary, a new method is set up to prove that the Roper-Suf...In this paper, the Alexander type theorem in several complex variables is given by using the parametric representation of a kind of starlike mappings. As a corollary, a new method is set up to prove that the Roper-Suffridge extension operator keeps the property of starlike.展开更多
基金Foundation item: Supported by the National Natural Science Foundation of china(10571044)
文摘In this paper, we consider growth and covering theorem for f(x), where f(x) is spiallike mapping of type β with order α defined on unit ball B of complex Banach space, and x=0 is zero of order k+1 for f(x)-x. We also dicate that the estimation is precise when β=0 and still give growth upper bound and distortion upper bound for subordinate mapping. This result include some results known.
基金Supported by the National Natural Science Foundation of China(10571044)
文摘In this paper, we deduce growth and covering theorem for f(x) by the othermeans where f(x) is strongly spiral-like mapping of type β with order α defined on UnitBall B of complex Banach space and still give growth upper bound and distortionbound for subordinate mapping.
文摘In this paper, the Alexander type theorem in several complex variables is given by using the parametric representation of a kind of starlike mappings. As a corollary, a new method is set up to prove that the Roper-Suffridge extension operator keeps the property of starlike.