A Hardy space associated with twisted convolution

DOI10.1016/0001-8708(81)90004-9zbMath0503.46037OpenAlexW1988226561WikidataQ126029996 ScholiaQ126029996MaRDI QIDQ1173246

Massimo A. Picardello, Fulvio Ricci, Giancarlo Mauceri

Publication date: 1981

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(81)90004-9

zbMATH Keywords

maximal operatorsHardy spacesatomic decompositionstwisted convolutionBMO spacesingular kernelstwisted Riesz transforms

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (17)

New real-variable characterizations of Hardy spaces associated with twisted convolution ⋮ Hardy-Sobolev spaces associated with twisted convolution ⋮ On regularity of twisted spherical means and special Hermite expansions ⋮ The boundedness of Weyl multiplier on Hardy spaces associated with twisted convolution ⋮ \(\mathcal H^p\)-boundedness of Weyl multipliers ⋮ Weighted local Hardy spaces and their applications ⋮ Local Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates ⋮ Molecular characterization of Hardy spaces associated with twisted convolution ⋮ Young's inequality for the twisted convolution ⋮ The polynomial Carleson operator ⋮ Hardy Spaces with Variable Exponents ⋮ Riesz transform characterization of weighted Hardy spaces associated with Schrödinger operators ⋮ SOME CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH TWISTED CONVOLUTION ⋮ Local Riesz transform and local Hardy spaces on Riemannian manifolds with bounded geometry ⋮ Harmonic functions, conjugate harmonic functions and the Hardy space \(H^1\) in the rational Dunkl setting ⋮ Asymmetry of twisted convolution operators ⋮ Multiplier theorems for special Hermite expansions on \(\mathbb{C}^n\).

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