scholarly journals Preasymptotics and asymptotics of approximation numbers of anisotropic Sobolev embeddings

2017 ◽  
Vol 39 ◽  
pp. 94-110 ◽  
Author(s):  
Jia Chen ◽  
Heping Wang
Keyword(s):  
Approximation Numbers ◽  
Sobolev Embeddings

scholarly journals Approximation numbers of Sobolev embeddings—Sharp constants and tractability

2014 ◽  
Vol 30 (2) ◽  
pp. 95-116 ◽  
Author(s):  
Thomas Kühn ◽  
Winfried Sickel ◽  
Tino Ullrich
Keyword(s):  
Sharp Constants ◽  
Approximation Numbers ◽  
Sobolev Embeddings

scholarly journals Counting Via Entropy: New Preasymptotics for the Approximation Numbers of Sobolev Embeddings

2016 ◽  
Vol 54 (6) ◽  
pp. 3625-3647 ◽  
Author(s):  
Thomas Kühn ◽  
Sebastian Mayer ◽  
Tino Ullrich
Keyword(s):  
Approximation Numbers ◽  
Sobolev Embeddings

scholarly journals Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds

2007 ◽  
Vol 5 (1) ◽  
pp. 27-48 ◽  
Author(s):  
Leszek Skrzypczak ◽  
Bernadeta Tomasz
Keyword(s):  
Asymptotic Formula ◽  
Sobolev Spaces ◽  
Symmetric Spaces ◽  
Approximation Numbers ◽  
Radial Functions ◽  
Sobolev Embeddings ◽  
Rank One

We regard the compact Sobolev embeddings between Besov and Sobolev spaces of radial functions on noncompact symmetric spaces of rank one. The asymptotic formula for the behaviour of approximation numbers of these embeddings is described.

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