A CHARACTERIZATION OF HARDY SPACE ON STRONGLY LIPSCHITZ DOMAINS OF ℝn BY LITTLEWOOD–PALEY–STEIN FUNCTION

DOI10.1142/S0219199710003749zbMath1190.42008MaRDI QIDQ5306079

Ji Zheng Huang

Publication date: 29 March 2010

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hardy spaceatomic decompositionLittlewood-Paley-Stein functionstrongly Lipschitz domainelliptic second-order operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (2)

Real-variable characterizations of Musielak-Orlicz-Hardy spaces associated with Schrödinger operators on domains ⋮ Weighted local Orlicz-Hardy spaces on domains and their applications in inhomogeneous Dirichlet and Neumann problems

Cites Work

• Some new function spaces and their applications to harmonic analysis.
• A vector-valued approach to tent spaces
• Interpolation between vector-valued Hardy spaces
• Hardy spaces and divergence operators on strongly Lipschitz domains of \(\mathbb R^n\)
• \(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems
• Extensions of Hardy spaces and their use in analysis
• Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in 𝐑^{𝐍}
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Lipschitz measures and vector-valued Hardy spaces

This page was built for publication: A CHARACTERIZATION OF HARDY SPACE ON STRONGLY LIPSCHITZ DOMAINS OF ℝⁿ BY LITTLEWOOD–PALEY–STEIN FUNCTION