The compressions of the weighted conditional expectation operators

چکیده مقاله

A C-E type Toeplitz operator TE
u is the compression of a weighted conditional expectation
operator EMu to the Bergman space L2a
. This study focuses on bounded C-E type Toeplitz
operators. Several properties of such operators are obtained, in particular, those of finite rank are
described. Also, for these linear operators the trace is computed and as some applications, several
examples are obtained.