Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898474 | Journal of Approximation Theory | 2018 | 15 Pages |
Abstract
Let Bp,qs,α(Ω) be the Besov space with classical smoothness s and additional logarithmic smoothness of order α on a bounded Lipschitz domain Ω in Rd. For s1,s2âR,1â¤p1,p2,q1,q2â¤â and s1âs2=dâd(1âp2â1âp1)+, we show a sufficient condition on q1,q2 for nuclearity of embedding Bp1,q1s1,α1(Ω)âªBp2,q2s2,α2(Ω). We also show that the condition is necessary in a wide range of parameters.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fernando Cobos, Ãscar DomÃnguez, Thomas Kühn,