论文标题
$μ$ - 汉克运营商紧凑型阿贝尔集团
$μ$-Hankel Operators on Compact Abelian Groups
论文作者
论文摘要
$（μ;ν）$ - 最近引入和研究了可分离的希尔伯特空间之间的Hankel运算符（\ textit {$μ$ -Hankel运算符Hilbert Spaces上的}，Opuscula Math。，\ textbf {41}（41}（2021），881---899）本文致力于将$（μ;ν）$ - Hankel运算符概括为（一般而言）在紧凑型和连接的Abelian组上的（一般不可分割的）情况。在这种情况下，在某些自然条件下，有限制的$（μ;ν）$ - hankel运算符全面描述。考虑了整体操作员的示例。
$(μ;ν)$-Hankel operators between separable Hilbert spaces were introduced and studied recently (\textit{$μ$-Hankel operators on Hilbert spaces}, Opuscula Math., \textbf{41} (2021), 881--899). This paper, is devoted to generalization of $(μ;ν)$-Hankel operators to the (non-separable in general) case of Hardy spaces over compact and connected Abelian groups. In this setting bounded $(μ;ν)$-Hankel operators are fully described under some natural conditions. Examples of integral operators are considered.
