In this paper we prove a priori estimates for Donaldson's equation
ω∧(χ+−1∂∂ˉφ)n−1=eF(χ+−1∂∂ˉφ)n
over a compact Hermitian manifold X of complex dimension n, where ω and
χ are arbitrary Hermitian metrics. Our estimates answer a question of
Tosatti-Weinkove.Comment: 16 pages. Calculus of Variations and Partial Differential Equations,
201