Decompositions of the Hardy space .1 z(.)

Authors
Lou, Zeng Jiang Yang, Shou Zhi Song, Dao Jin
Citation
Lou, Zeng Jiang et al., Decompositions of the Hardy space .1 z(.), Acta mathematica Sinica. English series (Print) , 21(4), 2005, pp. 949-954
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
4
Year of publication
2005
Pages
949 - 954
Database
ACNP
SICI code
Abstract
We give a decomposition of the Hardy space .1 z (.) into "div-curl" quantities for Lipschitz domains in .n. We also prove a decomposition of .1 z (.) into Jacobians det Du, u. W 1,2 0 (.,.2) for . in .2. This partially answers a well-known open problem.