Decompositions of the Hardy space ℋ 1 z (Ω)

Zeng Jian Lou; Shou Zhi Yang; Dao Jin Song

doi:10.1007/s10114-004-0499-8

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 journal › Article › peer-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 language	English
Pages (from-to)	949-954
Number of pages	6
Journal	Acta Mathematica Sinica, English Series
Volume	21
Issue number	4
DOIs	https://doi.org/10.1007/s10114-004-0499-8
Publication status	Published - Aug 2005
Externally published	Yes

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10.1007/s10114-004-0499-8

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title = "Decompositions of the Hardy space ℋ 1 z (Ω)",

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.",

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AU - Lou, Zeng Jian

AU - Yang, Shou Zhi

AU - Song, Dao Jin

PY - 2005/8

Y1 - 2005/8

N2 - 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.

AB - 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.

KW - Hardy space

KW - Jacobian determinant

KW - Lipschitz domain

UR - https://www.scopus.com/pages/publications/23044507614

U2 - 10.1007/s10114-004-0499-8

DO - 10.1007/s10114-004-0499-8

M3 - Article

SN - 1439-8516

VL - 21

SP - 949

EP - 954

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 4

ER -

Decompositions of the Hardy space ℋ ¹ _z (Ω)

Abstract

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