Atomic decomposition for preduals of Sobolev multiplier spaces

Keng Hao Ooi

Mathematische Nachrichten, 2023, vol. 296, issue 8, 3579-3592

Abstract: We characterize the preduals of Sobolev multiplier spaces by means of atomic decomposition. It will be shown that the vanishing integral condition plays a main role in the atomic decomposition. Certain subspaces of the preduals which consist of functions with vanishing integrals are also studied.

Date: 2023
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https://doi.org/10.1002/mana.202200038

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