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This article is cited in 2 scientific papers (total in 2 papers)
On the stricture of normal Hausdorff operators on Lebesgue spaces
A. R. Mirotin Gomel State University named after Francisk Skorina
Abstract:
We consider a generalization of Hausdorff operator and introduce the notion of the symbol of such an operator. Using this notion we describe under some natural conditions the structure and investigate important properties (such as invertibility, spectrum, norm, and compactness) of normal generalized Hausdorff operators on Lebesgue spaces over $\mathbb{R}^n.$ The examples of Cesàro operators are considered.
Keywords:
Hausdorff operator, Cesàro operator, symbol of an operator, normal operator, spectrum, compact operator.
Received: 18.01.2019 Revised: 25.02.2019 Accepted: 16.05.2019
Citation:
A. R. Mirotin, “On the stricture of normal Hausdorff operators on Lebesgue spaces”, Funktsional. Anal. i Prilozhen., 53:4 (2019), 27–37
Linking options:
https://www.mathnet.ru/eng/faa3645https://doi.org/10.4213/faa3645 https://www.mathnet.ru/eng/faa/v53/i4/p27
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Abstract page: | 298 | Full-text PDF : | 40 | References: | 31 | First page: | 21 |
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