ACTA issues

Essential norms of weighted composition operators between weighted Bergman spaces of the ball

Sei-Ichiro Ueki, Luo Luo

Acta Sci. Math. (Szeged) 74:3-4(2008), 829-843

Abstract. In this paper, we estimate the essential norm of a weighted composition operator between different weighted Bergman spaces on the unit ball in the complex $N$-dimensional Euclidean space. In our results, we use Carleson type measures and certain integral operators to estimate the essential norm.

AMS Subject Classification (1991): 47B38, 32A36

Received September 8, 2007, and in revised form February 18, 2008. (Registered under 6048/2009.)