Local Riesz transform characterization of local Hardy spaces

DOI10.1007/BF03191189zbMath1189.35398MaRDI QIDQ848649

Silvia Secco, Marco M. Peloso

Publication date: 4 March 2010

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/42142

zbMATH Keywords

Hardy spacesRiesz transform

Mathematics Subject Classification ID

(H^p)-spaces (42B30) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Related Items (17)

Riesz transform characterizations for multidimensional Hardy spaces ⋮ Characterizations of variable exponent Hardy spaces via Riesz transforms ⋮ Mixed Hardy spaces and their applications ⋮ Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces ⋮ Riesz transform characterization of Hardy spaces associated with ball quasi-Banach function spaces ⋮ Real‐variable characterizations of local Hardy spaces on spaces of homogeneous type ⋮ Calderón-Zygmund operators on local Hardy spaces ⋮ Hardy Spaces with Variable Exponents ⋮ Boundedness of singular integral operators on local Hardy spaces and dual spaces ⋮ Equivalent norms of \(cmo^p(\mathbb{R}^n)\) and applications ⋮ Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces ⋮ Riesz transform characterizations of Musielak-Orlicz-Hardy spaces ⋮ Riesz transform characterizations of variable Hardy-Lorentz spaces ⋮ Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces ⋮ Dual spaces of multiparameter local Hardy spaces ⋮ Multi-parameter local Hardy spaces ⋮ Discrete Littlewood-Paley-Stein characterization and \(L^2\) atomic decomposition of local Hardy spaces

Cites Work

• A local version of real Hardy spaces
• \(H^p\) spaces of several variables
• BOUNDEDNESS OF FOURIER INTEGRAL OPERATORS ON HARDY SPACES
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group
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