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arXiv · 2208.06215

$\mu$-Hankel Operators on Compact Abelian Groups

A. R. Mirotin
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Abstract

$(\mu;\nu)$-Hankel operators between separable Hilbert spaces were introduced and studied recently (\textit{$\mu$-Hankel operators on Hilbert spaces}, Opuscula Math., \textbf{41} (2021), 881--899). This paper, is devoted to generalization of $(\mu;\nu)$-Hankel operators to the (non-separable in general) case of Hardy spaces over compact and connected Abelian groups. In this setting bounded $(\mu;\nu)$-Hankel operators are fully described under some natural conditions. Examples of integral operators are considered.

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BibTeXRIS

A. R. Mirotin. 2022-08-12. $\mu$-Hankel Operators on Compact Abelian Groups. https://arxiv.org/abs/2208.06215

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