Weighted $θ$-Incomplete Pluripotential Theory
| dc.creator | Alan, Muhammed Ali | |
| dc.date | 2008-10-20 | |
| dc.date | 2009-02-11 | |
| dc.date.accessioned | 2026-07-07T12:39:45Z | |
| dc.date.available | 2026-07-07T12:39:45Z | |
| dc.description | Weighted pluripotential theory is a rapidly developing area; and Callaghan \cite{Callaghan} recently introduced $θ$-incomplete polynomials in \cd for $d>1$. In this paper we combine these two theories by defining weighted $θ$-incomplete pluripotential theory. We define weighted $θ$-incomplete extremal functions and obtain a Siciak-Zahariuta type equality in terms of $θ$-incomplete polynomials. Finally we prove that the extremal functions can be recovered using orthonormal polynomials and we demonstrate a result on strong asymptotics of Bergman functions in the spirit of \cite{BermanCn}. | |
| dc.description | 27 Pages, A new theorem added, Some corrections made | |
| dc.identifier | https://arxiv.org/abs/0810.3450 | |
| dc.identifier | http://arxiv.org/abs/0810.3450 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219226 | |
| dc.subject | Complex Variables | |
| dc.subject | 32U20, 32U15 | |
| dc.title | Weighted $θ$-Incomplete Pluripotential Theory | |
| dc.type | text |