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	Hajlasz-Sobolev type spaces and p-energy on the Sierpinski gasket
	Hu, JX ; Ji, Y ; Wen, ZY
	2010-05-06 ; 2010-05-06
关键词	BROWNIAN-MOTION BESOV-SPACES FRACTALS Mathematics
中文摘要	We study Hajlasz-Sobolev type spaces on metric spaces that depend on quasidistances; in particular, we may take the quasi-distance to be the power or of the metric with sigma > 1, if the metric space is highly irregular or porous. We take the Sierpinski gasket in R-2 as an example, and show that the Hajlasz-Sobolev type space is non-trivial for 1 < or < beta(p)/p with beta(p) characterizing the intrinsic property of the Sierpinski gasket. This work was strongly motivated by [8], and generalizes the result in [9] to any 1 < p < infinity.
语种	英语 ; 英语
出版者	SUOMALAINEN TIEDEAKATEMIA ; HELSINKI ; MARIANKATU 5, 00170 HELSINKI, FINLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14077]
专题	清华大学
推荐引用方式 GB/T 7714	Hu, JX,Ji, Y,Wen, ZY. Hajlasz-Sobolev type spaces and p-energy on the Sierpinski gasket[J],2010, 2010.
APA	Hu, JX,Ji, Y,&Wen, ZY.(2010).Hajlasz-Sobolev type spaces and p-energy on the Sierpinski gasket..
MLA	Hu, JX,et al."Hajlasz-Sobolev type spaces and p-energy on the Sierpinski gasket".(2010).

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