Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc
Functional Analysis
2021-01-14 v1 Complex Variables
Abstract
We introduce Hausdorff operators over the unit disc and give conditions for boundedness of such operator in Bloch, Bergman, and Hardy spaces on the disc. Identity approximation by Hausdorff operators is also considered.
Keywords
Cite
@article{arxiv.2101.05227,
title = {Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc},
author = {A. R. Mirotin},
journal= {arXiv preprint arXiv:2101.05227},
year = {2021}
}