ACTA issues

## The essential norm of a weighted composition operator on the ball algebra

Hiroyuki Takagi, Junji Takahashi, Sei-Ichiro Ueki

Acta Sci. Math. (Szeged) 70:3-4(2004), 819-829
5847/2009

 Abstract. In this paper, we estimate the essential norm of a weighted composition operator on the ball algebra $A(B)$ and the space $H^{\infty } (B)$ of bounded holomorphic functions. AMS Subject Classification (1991): 47B33, 46J15 Keyword(s): essential norm, weighted composition operators, ball algebra Received March 30, 2004, and in revised form June 16, 2004. (Registered under 5847/2009.)