An Example of a Fast-Decreasing (<Emphasis Type="Italic">p</Emphasis>, <Emphasis Type="Italic">A</Emphasis>)-Lacunary Function |
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Authors: | N A Shirokov |
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Institution: | (1) St.Petersburg State Electrotechnical University, Russia |
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Abstract: | A function
analytic in the unit disk is called (p, A)-lacunary if the inequalities n
k Ak
p hold for all k 0 with some 1 < p < and A > 0. In this paper, for 1 < p < 2 and A > 0, we construct a (p, A)-lacunary function f
1,p,A
(z) decreasing as x 1 – 0 at a rate close to the optimal rate for (p, A)-lacunary functions. Bibliography: 6 titles. |
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Keywords: | |
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