2022/08/12 by A. R. Mirotin, Mirotin, A. R.
Mathematics · #47A62 #47B35 #47B90 #Algebraic and Geometric Analysis #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2208.06215
openalex publication_date 2022/08/12 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
(μ;ν)-Hankel operators between separable Hilbert spaces were introduced and studied recently (μ-Hankel operators on Hilbert spaces, Opuscula Math., 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.