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The support points of several classes of analytic functions with fixed coefficients
Authors:Zhigang Peng
Institution:Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China
Abstract:Let B denote the set of functions ?(z) that are analytic in the unit disk D and satisfy |?(z)|?1(|z|<1). Let P denote the set of functions p(z) that are analytic in D and satisfy p(0)=1 and Rep(z)>0(|z|<1). Let T denote the set of functions f(z) that are analytic in D, normalized by f(0)=0 and f(0)=1 and satisfy that f(z) is real if and only if z is real (|z|<1). In this article we investigate the support points of the subclasses of B, P and T of functions with fixed coefficients.
Keywords:Topology of uniform convergence on compact subsets of the unit disk  Support point  Continuous linear functional
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