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- W2129043391 abstract "Abstract. Let X be a rearrangement-invariant Banach function space over a domain Ω ⊂ R. We characterize the K-functionals for the pairs (X, V X) and (X, SX), where V X is the reduced Sobolev space built upon X and SX is the class of measurable functions on Ω such that ‖t 1 n (f(t) − f∗(t))‖X < ∞, and X is the representation space of X. Using this result, we obtain a sharp estimate of rearrangements of a function in terms of moduli of continuity. We apply it to sharp embeddings of Besov spaces into Lorentz spaces and to the characterization of the rearrangement-invariant hull of a generalized Besov space." @default.
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- W2129043391 date "2009-01-01" @default.
- W2129043391 modified "2023-09-27" @default.
- W2129043391 title "The Rearrangement-Invariant Hull of a Besov Space" @default.
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