The support points of several classes of analytic functions with fixed coefficients |
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Authors: | Zhigang Peng |
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Institution: | Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China |
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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. |
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Keywords: | Topology of uniform convergence on compact subsets of the unit disk Support point Continuous linear functional |
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