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- W2999059503 abstract "Abstract Given a Banach space E with a supremum-type norm induced by a collection of operators, we prove that E is a dual space and provide an atomic decomposition of its predual. We apply this result, and some results obtained previously by one of the authors, to the function space B introduced recently by Bourgain, Brezis, and Mironescu. This yields an atomic decomposition of the predual B ⁎ , the biduality result that B 0 ⁎ = B ⁎ and B ⁎ ⁎ = B , and a formula for the distance from an element f ∈ B to B 0 ." @default.
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- W2999059503 date "2020-06-01" @default.
- W2999059503 modified "2023-09-23" @default.
- W2999059503 title "Atomic decompositions, two stars theorems, and distances for the Bourgain–Brezis–Mironescu space and other big spaces" @default.
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- W2999059503 doi "https://doi.org/10.1016/j.anihpc.2020.01.004" @default.
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