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Cobos, Fernando and Kühn, Thomas and Schonbek, Tomas (2006) Compact embeddings of Brezis-Wainger type. Revista Matemática Iberoamericana, 22 (1). pp. 305-322. ISSN 0213-2230
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Official URL: http://projecteuclid.org/euclid.rmi/1148492184
Abstract
Let Ω be a bounded domain in Rn and denote by idΩ the restriction operator from the Besov space B1+n/p pq (Rn) into the generalized Lipschitz space Lip(1,−α)(Ω). We study the sequence of entropy numbers of this operator and prove that, up to logarithmic factors, it behaves asymptotically like ek(idΩ) ∼ k−1/p if α > max (1 + 2/p −1/q, 1/p). Our estimates improve previous results by Edmunds and Haroske.
Item Type: | Article |
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Uncontrolled Keywords: | Entropy Numbers; Banach-Spaces; Operators; Compact embeddings; Besov spaces; Lipschitz spaces; Mathematics |
Subjects: | Sciences > Mathematics > Mathematical analysis |
ID Code: | 15042 |
Deposited On: | 27 Apr 2012 09:14 |
Last Modified: | 20 Jun 2018 11:35 |
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