期刊文献+

The Dichotomy Between Traces on d-sets Г in R^n and the Density of D(R^n\Г) in Function Spaces 被引量:1

The Dichotomy Between Traces on d-sets Г in R^n and the Density of D(R^n\Г) in Function Spaces
原文传递
导出
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. 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.
作者 Hans TRIEBEL
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第4期539-554,共16页 数学学报(英文版)
关键词 function spaces D-SETS fractals TRACES function spaces, d-sets, fractals, traces
  • 相关文献

参考文献26

  • 1Triebel, H.: Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Amsterdam, 1978
  • 2Triebel, H.: Boundary values for Sobolev-spaces with weights. Density of D(Ω) in Wp,γο,…,γr^S(Ω) and in Hp,γο,…,γr^S(Ω), for s > 0 and r =[s - 1/p]^-. Ann. Scuola Norm. Sup. Pisa 27, 73-96 (1973)
  • 3Triebel, H.: Theory of Function Spaces, Birkhauser, Basel, 1983
  • 4Triebel, H.: Theory of Function Spaces Ⅱ, Birkhauser, Basel, 1992
  • 5Triebel, H.: Theory of Function Spaces Ⅲ, Birkhauser, Basel, 2006
  • 6Malliavin, P.: Integration and Probability, Springer, New York, 1995
  • 7Mattila, P.: Geometry of Sets and Measures in Euclidean Spaces, Cambridge Univ. Press, Cambridge, 1995
  • 8Falconer, K. J.: The Geometry of Fractal Sets, Cambridge Univ. Press, Cambridge, 1985
  • 9Triebel, H.: Fractals and Spectra, Birkhauser, Basel, 1997
  • 10Triebel, H.: Fractals and Spectra, Birkhauser, Basel, 1997

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部