  In the present article, we study the discrete spectrum of certain bounded
Toeplitz operators with harmonic symbol on a Bergman space. Using the methods
of classical perturbaton theory and recent results by Borichev-Golinskii-Kupin
and Favorov-Golinskii, we obtain a quantitative result on the distribution of
the discrete spectrum of the operator in the unbounded (outer) component of its
Fredholm set.
