English

Logarithmic Bloch spaces in the polydisc, endpoint results for Hankel operators and pointwise multipliers

Classical Analysis and ODEs 2023-04-27 v4 Complex Variables

Abstract

We define two notions of Logarithmic Bloch space in the polydisc for which we provide equivalent definitions in terms of symbols of bounded Hankel operators. We also provide a full characterization of the pointwise multipliers between two different Bloch spaces of the unit polydisc.

Keywords

Cite

@article{arxiv.1306.3826,
  title  = {Logarithmic Bloch spaces in the polydisc, endpoint results for Hankel operators and pointwise multipliers},
  author = {Benoit Florent Sehba},
  journal= {arXiv preprint arXiv:1306.3826},
  year   = {2023}
}