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.)