We show that two different types of the convergence theorem of the Monge-Ampere operators, one by an inequality similar to that of the Chern-Levine-Nirenberg estimate and another by using the quasicontinuity of plurisubharmonic functions. As a consequ...
We show that two different types of the convergence theorem of the Monge-Ampere operators, one by an inequality similar to that of the Chern-Levine-Nirenberg estimate and another by using the quasicontinuity of plurisubharmonic functions. As a consequence one can show that the range of Monge-Ampere operator acting on the locally uniformly bounded C²-plurisubharmonic functions are ω*-compact.