Characterization of \(H^ 1\) by singular integrals: Necessary conditions

DOI10.1215/S0012-7094-84-05128-7zbMath0573.43005OpenAlexW2047096480MaRDI QIDQ1063200

Michael Christ

Publication date: 1984

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-84-05128-7

zbMATH Keywords

Hardy spaceHeisenberg groupsingular integral operators

Mathematics Subject Classification ID

Analysis on specific locally compact and other abelian groups (43A70)

Related Items

Singular integral characterizations of Hardy spaces on homogeneous groups ⋮ Weak Type Estimates for a Singular Convolution Operator on the Heisenberg Group ⋮ Interpolatory estimates, Riesz transforms and wavelet projections ⋮ On Compactness of Composition Operators in Hardy Spaces of Several Variables

Cites Work

• Unnamed Item
• A construction of inner functions on the unit ball in \(C^ p\)
• A constructive proof of the Fefferman-Stein decomposition of BMO(R**n)
• Singular integral characterizations of Hardy spaces on homogeneous groups
• Fourier analysis on the Heisenberg group. I. Schwartz space
• The proportion of Brownian sojourn outside a moving boundary
• \(H^p\) spaces of several variables
• THE EXISTENCE OF INNER FUNCTIONS IN THE BALL
• Conjugate system characterizations of 𝐻¹: Counter examples for the Euclidean plane and local fields
• Characterisations of $H^1$ by singular intetgral transforms on martingales and $\mathsf{R}^n$
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28