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A strong comparison principle of plurisubharmonic functions with finite pluricomplex energy

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Author

Summary, in English

We prove a strong comparison theorem in the class ${\cal E}_p(\Omega)$ of certain plurisubharmonic functions with infinite total complex Monge-Amp\`ere masses. We also obtain a convergence theorem in ${\cal E}_p(\Omega)$

Publishing year

2008

Language

English

Pages

563-581

Publication/Series

Michigan Mathematical Journal

Volume

56

Issue

3

Document type

Journal article

Publisher

University of Michigan, Department of Mathematics

Topic

  • Mathematics

Keywords

  • plurisubharmonic function
  • the complex Monge-Amp\`ere operator
  • comparison principle

Status

Published

ISBN/ISSN/Other

  • ISSN: 0026-2285