Definicje operatora MongeAmpera - Cracow University of Technology Library

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Definicje operatora MongeAmpera

Type: unpublished work

Title variant

English

Definitions of Monge-Ampere operators

Author

Szymon Pliś (new window)

Work Completion Date

2012

Publication genre

experimental research

Polish Subject Classification

• [233200] Analiza matematyczna
• [230000] Matematyka

Author keywords

• Polish
• English

Operator Monge'a-Ampere'a

Funkcje plurisubharmoniczne

Monge-Ampere operator

Plurisubharmonic functions

Abstract

• Polish
• English

Na konferencji "Workshop on modern Applied Mathematics PK 2012", wygłosiłem referat o definiowaniu operatora Monge'a-Ampere'a dla funkcji wypukłych i plurisubharmonicznych.

This talk was presented on "Workshop on modern Applied Mathematics PK 2012". Abstrakt: We will explain how to define the Monge-Ampere operator (as a regular Borel measure) for any convex function. We will show how to define the complex Monge-Ampere operator for plurisubharmonic functions. Then we will generalize this for J-plurisubharmonic functions on four dimensional almost complex manifolds.

University Unit

Cracow University of Technology. Institute of Mathematics