### Abstract

We consider the following problem: find on ℂ^{2} a plurisubharmonic function with a given order function. In particular, we prove that any positive ambiguous function on ℂℙ^{1} which is constant outside a polar set is the order function of a plurisubharmonic function.

Original language | English (US) |
---|---|

Pages (from-to) | 161-171 |

Number of pages | 11 |

Journal | Studia Mathematica |

Volume | 124 |

Issue number | 2 |

State | Published - Dec 1 1997 |

### Keywords

- G-function
- Order function
- Plurisubharmonic function
- Singularity

### ASJC Scopus subject areas

- Mathematics(all)

## Fingerprint Dive into the research topics of 'Order functions of plurisubharmonic functions'. Together they form a unique fingerprint.

## Cite this

Celik, H. I., & Poletsky, E. A. (1997). Order functions of plurisubharmonic functions.

*Studia Mathematica*,*124*(2), 161-171.