Decompositions of the Hardy space ℋ 1 z (Ω)

Zeng Jian Lou*, Shou Zhi Yang, Dao Jin Song

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)949-954
Number of pages6
JournalActa Mathematica Sinica, English Series
Volume21
Issue number4
DOIs
Publication statusPublished - Aug 2005
Externally publishedYes

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