Regularity of The Complex Monge-Ampere Equation for Radially Symmetric Functions of the Unit Ball.

David Monn

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Displaying similar documents to “Regularity of The Complex Monge-Ampere Equation for Radially Symmetric Functions of the Unit Ball.”

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A counterexample to the regularity of the degenerate complex Monge-Ampère equation

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Radially symmetric plurisubharmonic functions

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In this note we consider radially symmetric plurisubharmonic functions and the complex Monge-Ampère operator. We prove among other things a complete characterization of unitary invariant measures for which there exists a solution of the complex Monge-Ampère equation in the set of radially symmetric plurisubharmonic functions. Furthermore, we prove in contrast to the general case that the complex Monge-Ampère operator is continuous on the set of radially symmetric plurisubharmonic functions....