ACTA issues

Schatten class weighted composition operators on weighted Bergman spaces of bounded symmetric domains

Sanjay Kumar, Som Datt Sharma

Acta Sci. Math. (Szeged) 76:1-2(2010), 193-206

Abstract. In this work, we obtain trace ideal criteria for holomorphic weighted composition operators acting on the weighted Bergman spaces $A^2_{\lambda }(\Omega )$ of a bounded symmetric domain $\Omega $ in ${\msbm C}^n.$

AMS Subject Classification (1991): 47B33, 46E30, 47B07, 46B70

Keyword(s): Bergman spaces, bounded symmetric domains, Schatten $p$-class operator

Received November 18, 2009. (Registered under 58/2008.)