ACTA issues

The Cesàro operator on Dirichlet spaces

Petros Galanopoulos

Acta Sci. Math. (Szeged) 67:1-2(2001), 411-420

Abstract. In this paper we show that the Cesàro operator is bounded on the weighted Dirichlet spaces that lie between the classical Dirichlet spaces and the Hardy space $H^2$.

AMS Subject Classification (1991): 47B38, 46E20

Received March 20, 2000, and in revised form October 31, 2000. (Registered under 2792/2009.)