$\mu$-Hankel Operators on Compact Abelian Groups
Functional Analysis
2022-08-15 v1
Abstract
-Hankel operators between separable Hilbert spaces were introduced and studied recently (\textit{-Hankel operators on Hilbert spaces}, Opuscula Math., \textbf{41} (2021), 881--899). This paper, is devoted to generalization of -Hankel operators to the (non-separable in general) case of Hardy spaces over compact and connected Abelian groups. In this setting bounded -Hankel operators are fully described under some natural conditions. Examples of integral operators are considered.
Cite
@article{arxiv.2208.06215,
title = {$\mu$-Hankel Operators on Compact Abelian Groups},
author = {A. R. Mirotin},
journal= {arXiv preprint arXiv:2208.06215},
year = {2022}
}