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On the topology of the space of Hankel convolution operators

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Publication:1922976
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DOI10.1006/jmaa.1996.0297zbMath0905.46024OpenAlexW2050770234MaRDI QIDQ1922976

Isabel Marrero, Jorge J. Betancor

Publication date: 8 October 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0297


zbMATH Keywords

Hankel operatorsZemanian spacetopology of uniform convergence on bounded subsetsstrong dual topology


Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Topological linear spaces of test functions, distributions and ultradistributions (46F05)


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Algebraic characterization of convolution and multiplication operators on Hankel-transformable function and distribution spaces ⋮ Characterization of Banach valued BMO functions and UMD Banach spaces by using Bessel convolutions ⋮ The role of nonpolynomiality in uniform approximation by RBF networks of Hankel translates ⋮ On Hankel convolution equations in distribution spaces ⋮ Spaces of ${\mathcal D}_{L^p}-$type and the Hankel convolution



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