  We study boundedness, compactness, and Schatten-class membership of the
canonical solution operator to dbar, restricted to (0,1)-forms with holomorphic
coefficients, on L^2(d mu) where mu is a measure with the property that the
monomials form an orthogonal family in L^2 (d mu). The characterizations are
formulated in terms of moment properties of mu. Our results generalize the
results of the first author to several variables, contain some known results
for several variables, and also cover new ground.
