中文

半Reinhardt域上的Hilbert-Schmidt Hankel算子

复变函数 2016-05-03 v2

摘要

Ω\OmegaCm+n\mathbb{C}^{m+n}中任意有界半Reinhardt域。我们证明当m2m \geq 2时,若具有反全纯符号的Hankel算子在Bergman空间La2(Ω)L_a^2(\Omega)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。

关键词

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This paper has been withdrawn by the authors due to mistake in the proof of Main theorem