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On the Young Conjugate Functions and the Behavior of the Maximal Terms of the Derivatives of Dirichlet Series |
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| Authors: | Mikityuk Ya V Sumyk O M Sheremeta M N |
| Institution: | (1) Lvov State University, Ukraine |
| Abstract: | We obtain a criterion for the growth of the maximal term of the Dirichlet series with positive exponents in terms of the behavior of the maximal terms of the successive derivatives of this series. This criterion is obtained from a more general result concerning Young conjugate functions proved in this paper. |
| Keywords: | Young conjugate functions Dirichlet series Lebesgue measurable function absolute continuity |
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