On a general concept of a Hausdorff-type operator
Functional Analysis
2024-06-18 v2
Abstract
A unified approach to the concept of a Hausdorff operator is proposed in such a way that a number of classical and new operators feet into the given definition. Conditions are given for the boundedness of the operators under consideration in and in the atomic Hardy space , and their regularity property is investigated. Examples are considered. The author hopes that this approach will allow one to unify the study of a lot of extensions and analogs of the classical Hausdorff operator.
Cite
@article{arxiv.2308.02388,
title = {On a general concept of a Hausdorff-type operator},
author = {A. R. Mirotin},
journal= {arXiv preprint arXiv:2308.02388},
year = {2024}
}