Abstract

For a sequence of nonnegative numbers increasing to let denote the class of Dirichlet series , , absolutely convergent in . If , then let , and the central exponent. It is shown that for the relation to hold as outside some set of finite measure for each function it is necessary and sufficient that . This condition can be weakened in the case when an additional restriction is placed on the decrease of the coefficients .Bibliography: 10 titles.

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