- Tytuł:
- Kolodziejs subsolution theorem for unbounded pseudoconvex domains
- Autorzy:
-
Åhag, Per
Czyż, Rafał - Powiązania:
- https://bibliotekanauki.pl/articles/1368153.pdf
- Data publikacji:
- 2012
- Wydawca:
- Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
- Opis:
- In this paper we generalize Kolodziej's subsolution theorem to bounded and unbounded pseudoconvex domains, and in that way we are able to solve complex Monge-Ampère equations on general pseudoconvex domains. We then give a negative answer to a question of Cegrell and Kolodziej by constructing a compactly supported Radon measure $\mu$ that vanishes on all pluripolar sets in $C^n$ such that $\lambda(C^n)=(2\pi)^n$, and for which there is no function $u$ in $\mathcal L_+$ such that $(dd^cu)^n=\mu$. We end this paper by solving a Monge_Amp±re type equation. Furthermore, we prove uniqueness and stability of the solution.
- Źródło:
-
Universitatis Iagellonicae Acta Mathematica; 2012, 50; 7-23
2084-3828
0083-4386 - Pojawia się w:
- Universitatis Iagellonicae Acta Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł