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Hardy-Sobolev Spaces Decomposition in

✍ Scribed by Pei Dang; Tao Qian; Zhong You

Publisher
SP Birkhäuser Verlag Boston
Year
2010
Tongue
English
Weight
596 KB
Volume
17
Category
Article
ISSN
1069-5869

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## Communicated by M. Lachowicz Let f ∈ L 2,-l (R 3 ), where We prove the decomposition f =-∇u+g, with g divergence free and u is a solution to the problem in R 3 Since f, u, g are defined in R 3 we need a sufficiently fast decay of these functions as |x|→∞.