ACTA issues

On sine and cosine series with monotonically decreasing coefficients and Orlicz spaces

Takashi Miyamoto, Kaoru Yoneda

Acta Sci. Math. (Szeged) 69:1-2(2003), 185-196

Abstract. In this paper, we get a necessary and sufficient condition for sine series with monotonically decreasing cofficients to belong to some Orlicz space. Moreover, we have analogue results for cosine series.

AMS Subject Classification (1991): 42A32, 46E30

Keyword(s): Trigonometric series, Orlicz space

Received July 27, 2001, and in revised form November 22, 2001. (Registered under 2892/2009.)