Pointwise estimates for some kernels on compact Lie groups

DOI10.1007/BF02844350zbMath0492.43006OpenAlexW2031145963WikidataQ115391477 ScholiaQ115391477MaRDI QIDQ1167902

Michael G. Cowling, Fulvio Ricci, Anna Maria Mantero

Publication date: 1982

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844350

zbMATH Keywords

heat equationPoisson kernelRiesz potentialRiesz transformGauss-Weierstrass kernel

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (7)

Calderón-Zygmund operators on compact Lie groups ⋮ Lipschitz spaces on compact Lie groups ⋮ On almost everywhere divergence of Bochner-Riesz means on compact Lie groups ⋮ Hardy spaces on compact Lie groups ⋮ Hardy space estimates for the wave equation on compact Lie groups ⋮ Central oscillating multipliers on compact Lie groups ⋮ Optimal boundedness of central oscillating multipliers on compact Lie groups

Cites Work

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• Sommes de Riesz et multiplicateurs sur un groupe de Lie compact
• \(H^p\) spaces of several variables
• Extensions of Hardy spaces and their use in analysis
• A characterization of $H^{p}(R^{n})$ in terms of atoms
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Invariant systems of conjugate harmonic functions associated with compact Lie groups

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