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arxiv: 1411.7246 · v1 · pith:2AIEXI4Snew · submitted 2014-11-26 · 🧮 math.FA

Bernstein Numbers of Embeddings of Isotropic and Dominating Mixed Besov Spaces

classification 🧮 math.FA
keywords bernsteinnumbersasymptoticbehaviourbesovconsidereddecaydominating
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The purpose of the present paper is to investigate the decay of Bernstein numbers of the embedding from $B^t_{p_1,q}((0,1)^d)$ into the space $L_{p_2}((0,1)^d) $. The asymptotic behaviour of Bernstein numbers of the identity $id: S_{p_1,p_1}^tB((0,1)^d)\rightarrow L_{p_2}((0,1)^d)$ will be also considered.

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