To the spectral theory of discrete Hausdorff operators

DOI10.1007/S10958-023-06259-7OpenAlexW4320881897MaRDI QIDQ6147562

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Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06259-7

zbMATH Keywords

Lebesgue spacespectrumHausdorff operatornorm of operatordiscrete Hausdorff operator

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38)

Cites Work

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• Hausdorff operators on function spaces
• Boundedness of Hausdorff operators on real Hardy spaces \(H^{1}\) over locally compact groups
• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• Hausdorff operators on Euclidean spaces
• Fine spectra and compactness of generalized Cesàro operators in Banach lattices in \(\mathbb{C}^{\mathbb{N}_0}\)
• On the structure of normal Hausdorff operators on Lebesgue spaces
• On the description of multidimensional normal Hausdorff operators on Lebesgue spaces
• A Comprehensive Treatment of q-Calculus
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Defining Hausdorff operators on Euclidean spaces
• Multidimensional Hausdorff operators on the real Hardy space

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