Sobolev extension property for tree-shaped domains with self-contacting fractal boundary
نویسندگان
چکیده
منابع مشابه
Sobolev Extension Property for Tree-shaped Domains with Self-contacting Fractal Boundary
In this paper, we investigate the existence of extension operators fromW (Ω) toW (R) (1 < p < ∞) for a class of tree-shaped domains Ω with a self-similar fractal boundary previously studied by Mandelbrot and Frame. When the fractal boundary has no self-contact, the results of Jones imply that there exist such extension operators for all p ∈ [1,∞]. In the case when the fractal boundary self-inte...
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ژورنال
عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2016
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.201307_008