Subharmonic variation of Azukawa pseudometrics for balanced domains
Complex Variables
2018-11-20 v1
Abstract
We consider the subharmonicity property of the logarithm of Azukawa pseudometrics of pseudoconvex domains under pseudoconvex variations. We prove that such a property holds for the variation of balanced domains. We also give a non-balanced example. The relation of the volume of Azukawa indicatrix and the estimate in the Ohsawa-Takegoshi -extension theorem is also discussed.
Keywords
Cite
@article{arxiv.1811.07154,
title = {Subharmonic variation of Azukawa pseudometrics for balanced domains},
author = {Genki Hosono},
journal= {arXiv preprint arXiv:1811.07154},
year = {2018}
}
Comments
9 pages