Abstract
We give a decomposition of the Hardy space ℋ1 z (Ω) into "div-curl" quantities for Lipschitz domains in ℝn . We also prove a decomposition of space ℋ1 z (Ω) into Jacobians det Du, u W 1,2 0 (Ω,ℝ2) for Ω in ℝ2. This partially answers a well-known open problem.
Original language | English |
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Pages (from-to) | 949-954 |
Number of pages | 6 |
Journal | Acta Mathematica Sinica, English Series |
Volume | 21 |
Issue number | 4 |
DOIs | |
Publication status | Published - Aug 2005 |
Externally published | Yes |