October 16: Jani Virtanen, CIMS
Toeplitz operators on Bergman spaces
The Bergman space $A^2$ consists of all analytic functions in
the open unit disk that are squaresummable. As $A^2$ is a closed
subspace of $L^2$, there is a projection $P$ of $L^2$ onto $A^2$. The
Toeplitz operator $T_a$ with symbol $a$ is the operator
acting on $A^2$ of multiplication by the function $a$ followed by the
orthogonal projection $P$. I discuss boundedness, compactness and spectral
properties of Toeplitz operators on Bergman spaces.
