Function theory on the Neil parabola
复变函数
2022-03-04 v3
摘要
We give a formula for the Carath\'eodory distance on the Neil parabola, the variety restricted to the bidisk; thus making it the first variety with a singularity to have its Carath\'eodory distance explicitly computed. In addition, we relate this to a mixed Carath\'eodory-Pick interpolation problem for which known interpolation theorems do not apply. Finally, we prove a bounded holomorphic function extension result from the Neil parabola to the bidisk.
引用
@article{arxiv.math/0512473,
title = {Function theory on the Neil parabola},
author = {Greg Knese},
journal= {arXiv preprint arXiv:math/0512473},
year = {2022}
}
备注
Changed title to match published version