Pluripolar hulls and fine analytic structure |
| |
| Authors: | Tomas Edlund |
| |
| Affiliation: | a Unit of Applied Statistics and Mathematics, Swedish University of Agriculture, Box 7013 SE-750 07, Uppsala, Sweden
b KdV Institute for Mathematics, University of Amsterdam, Plantage Muidergracht, 24, 1018 TV, Amsterdam, The Netherlands |
| |
| Abstract: | We discuss the relation between pluripolar hulls and fine analytic structure. Our main result is the following. For each non polar subset S of the complex plane ? we prove that there exists a pluripolar set E ⊂ (S × ?) with the property that the pluripolar hull of E relative to ?2 contains no fine analytic structure and its projection onto the first coordinate plane equals ?. |
| |
| Keywords: | 31C40 32U15 32E20 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
