半Reinhardt域上的Hilbert-Schmidt Hankel算子
复变函数
2016-05-03 v2
摘要
设为中任意有界半Reinhardt域。我们证明当时,若具有反全纯符号的Hankel算子在Bergman空间上是Hilbert-Schmidt的,则其必为零。这一事实先前已在Reinhardt域上得到证明。
引用
@article{arxiv.1604.07059,
title = {Hilbert-Schmidt Hankel operators over semi-Reinhardt domains},
author = {Tomasz Beberok and Nihat Gokhan Gogus},
journal= {arXiv preprint arXiv:1604.07059},
year = {2016}
}
备注
This paper has been withdrawn by the authors due to mistake in the proof of Main theorem