Approximation of plurisubharmonic functions on complex varieties.

Autor: Dieu, Nguyen Quang, Long, Tang Van, Ounheuan, Sanphet
Předmět:
Zdroj: International Journal of Mathematics; Dec2017, Vol. 28 Issue 14, p-1, 16p
Abstrakt: Let be a complex variety in a bounded domain in . We are interested in finding sufficient conditions on so that plurisubharmonic functions which are bounded from above on can be approximated from above by continuous functions on and plurisubharmonic on Next, we discuss the possibility to extend a given real valued continuous function on to a maximal plurisubharmonic on which is continuous up to the boundary. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index