Schatten class Toeplitz operators on weighted Bergman spaces of tube domains over symmetric cones

Abstract

IntroductionAll over the text, will denote an irreducible symmetric cone in R n , and D = R n + i the tube domain over . As in [10] we denote by r the rank of the cone and by the associated determinant function in R n . We recall that for n ≥ 3 , when r = 2 , as example of symmetric cones, we have the Lorentz cone n which is defined by