| The Dichotomy Between Traces on d-sets F in R^n and the Density of D（R^n／Г） in Function Spaces |
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| 作者姓名： | Hans TRIEBEL |
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| 作者单位： | Mathematisches Institut, Fakultat fǖr Mathematik und Informatik, Friedrich-Schiller-Universitat Jena, D-07737 Jena, Germany |
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| 摘 要： | A space Apq^s （R^n） with A ： B or A = F and s ∈R, 0 〈 p, q 〈 ∞ either has a trace in Lp（Г）, where Г is a compact d-set in R^n with 0 〈 d 〈 n, or D（R^n／Г） is dense in it. Related dichotomy numbers are introduced and calculated.
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| 关 键 词： | 函数理论 二分法 密度泛函理论 函数空间 |
| 收稿时间： | 5 January 2007 |
| 修稿时间： | 3 September 2007 |
The dichotomy between traces on d-sets Γ in ?
n
and the density of D(?
n
\Γ) in function spaces |
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| Hans TRIEBEL.The dichotomy between traces on d-sets Γ in ?
n
and the density of D(?
n
\Γ) in function spaces[J].Acta Mathematica Sinica,2008,24(4):539-554. |
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| Authors: | Hans Triebel |
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| Institution: | 1. Mathematisches Institut, Fakult?t für Mathematik und Informatik, Friedrich-Schiller-Universit?t Jena, D-07737, Jena, Germany
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| Abstract: | A space A
pq
s
(ℝ
n
) with A = B or A = F and s ∈ ℝ, 0 < p,q < ∞ either has a trace in L
p
(Γ), where Γ is a compact d-set in ℝ
n
with 0 < d < n, or D(ℝ
n
Γ) is dense in it. Related dichotomy numbers are introduced and calculated.
|
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| Keywords: | function spaces d-sets fractals traces |
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