Weighted BMO and Hankel operators between Bergman spaces
Complex Variables
2015-01-26 v1
Abstract
We introduce a family of weighted BMO and VMO spaces for the unit ball and use them to characterize bounded and compact Hankel operators between different Bergman spaces. In particular, we resolve two problems left open by S. Janson in 1988 and R. Wallsten in 1990.
Keywords
Cite
@article{arxiv.1501.05845,
title = {Weighted BMO and Hankel operators between Bergman spaces},
author = {Jordi Pau and Ruhan Zhao and Kehe Zhu},
journal= {arXiv preprint arXiv:1501.05845},
year = {2015}
}