ACTA issues

Real trigonometric series of class BMO and (C,1)-means

Igor Bruj, Gerald Schmieder

Acta Sci. Math. (Szeged) 64:3-4(1998), 483-488

Abstract. We give a necessary and sufficient condition for a real trigonometric series to be the Fourier series of a function of bounded mean oscillation (BMO).

AMS Subject Classification (1991): 30D50, 42A24

Received October 16, 1997 and in revised form March 20, 1998. (Registered under 3302/2009.)