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 ...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.展开更多
In the paper we give a trace theorem of Besov spaces Bp^α,p（R^n） on a d-set. It is a kind of extension of related results of Jonsson and Wallin, which has important applications on PDE theory.
文摘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.
基金Supported by the Ji’nan University’s Young Scholar’s Foundation (Grant No51208036)
文摘In the paper we give a trace theorem of Besov spaces Bp^α,p（R^n） on a d-set. It is a kind of extension of related results of Jonsson and Wallin, which has important applications on PDE theory.
