Approximation of \(H^ p\)-functions by Bochner-Riesz means on compact Lie groups

DOI10.1007/BF02572312zbMath0795.43004WikidataQ115391978 ScholiaQ115391978MaRDI QIDQ1329042

Zengfu Xu, Walter R. Bloom

Publication date: 29 June 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174641

zbMATH Keywords

boundednessHardy spacesBochner-Riesz meanscompact connected semisimple Lie groupBochner-Riesz kernel

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Summability methods on groups, semigroups, etc. (43A55) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items (5)

On almost everywhere divergence of Bochner-Riesz means on compact Lie groups ⋮ Hardy space estimates for the wave equation on compact Lie groups ⋮ Central oscillating multipliers on compact Lie groups ⋮ BOCHNER–RIESZ MEANS ON BLOCK-SOBOLEV SPACES IN COMPACT LIE GROUP ⋮ Optimal boundedness of central oscillating multipliers on compact Lie groups

Cites Work

• Hardy spaces on compact Lie groups
• On the asymptotics of the Bochner-Riesz kernel on compact Lie groups
• Hardy-Lorentz spaces and expansions in eigenfunctions of the Laplace-Beltrami operator on compact manifolds
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