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Abstract. In this paper, we get a necessary and sufficient condition for sine series with monotonically decreasing coefficients to belong to some generalized Lorentz--Zygmund space. Moreover, we have analogous results for cosine series.
AMS Subject Classification
(1991): 42A32, 46E30
Keyword(s):
Trigonometric series,
Lorentz--Zygmund space
Received May 28, 2002, and in revised form October 14, 2002. (Registered under 2924/2009.)
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