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Vector-valued Sobolev multiplier spaces and their preduals

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11_Ooi.pdf(322.5 KB)
Date
2021
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EUT Edizioni Università di Trieste
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Abstract
We study the properties of the Sobolev Multiplier Spaces of X-valued functions and their preduals, where X is a Banach space. It is shown that a necessary and sufficient condition for the duality to be valid is that X∗ possesses the Radon-Nikodym property. Weak vector-valued and the projective tensor type spaces regarding of the preduals will also be taken into account and it is shown that they differ to each other when X is infinite-dimensional.
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Sobolev multiplier spaces, preduals, Radon-Nikodym property, projective tensor products
Citation
Keng Hao Ooi, "Vector-valued Sobolev multiplier spaces and their preduals" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)", EUT Edizioni Università di Trieste, Trieste, 2021. pp. 9
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http://hdl.handle.net/10077/32274
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Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)