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Journal Articles Nonlinear Analysis: Theory, Methods and Applications Year : 2015

Traces of weighted Sobolev spaces. Old and new

Emmanuel Russ

Abstract

We give short simple proofs of Uspenskii's results characterizing Besov spaces as trace spaces of weighted Sobolev spaces. We generalize Uspenskii's results and prove the optimality of these generalizations. We next show how classical results on the functional calculus in the Besov spaces can be obtained as straightforward consequences of the theory of weighted Sobolev spaces.
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Dates and versions

hal-01064025 , version 1 (15-09-2014)

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  • HAL Id : hal-01064025 , version 1

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Petru Mironescu, Emmanuel Russ. Traces of weighted Sobolev spaces. Old and new. Nonlinear Analysis: Theory, Methods and Applications, 2015, 119, pp.354--381. ⟨hal-01064025⟩
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